Precalculus Find g (f (x)) f (x)=2x3 , g (x)=x1 f (x) = 2x − 3 f ( x) = 2 x 3 , g(x) = x 1 g ( x) = x 1 Set up the composite result function g(f (x)) g ( f ( x)) Evaluate g(f (x)) g ( f ( x)) by substituting in the value of f f into g g g(2x−3) = (2x−3)1 g ( 2 x 3) = ( 2 x 3) 1 Add −3Start studying Evaluating Functions Learn vocabulary, terms, and more with flashcards, games, and other study tools Just add the two together (fg)(x)=(3x2)(x^21) (fg)(x)=x^23x1 Algebra Science Anatomy & Physiology
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F(x)=x^2 what is g(x) (2 2) brainly-Inverse\y=\frac{x}{x^26x8} inverse\f(x)=\sqrt{x3} inverse\f(x)=\cos(2x5) inverse\f(x)=\sin(3x) precalculusfunctioninversecalculator en Related Symbolab blog posts Functions A function basically relates an input to an output, there's an input, a relationship and an output For every input For two given functions f(x) and g(x), the function (f g)(x) is (f g)(x) = f(x) g(x) Here we have the functions f(x) = x^2 1 g(x) = 5 x Now we want to find (f g)(x), we can use the above expression (f g)(x) = f(x) g(x) = (x^2 1) (5 x) (f g)(x) = x^2 1 5 x = x^2 x 6 (f g)(x) = x^2 x 6
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See first you have to calculate g(1) which is g(1) = (1)^2 2 g(1) = 1–2 = 1 g(1) = f(g(1)) = f(1) Now we will calculate required value of f(g(1)) f(g 1814 views around the world You can reuse this answer Creative Commons LicenseFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutor
2x² 17x 35 26x² x 15 find the tenth term of the arithmetic sequence if the first term is 6 and the common difference is 2 find fg , fg , fg and f/g f(x) =1/2x , g(x) = 2/x12Find f(g(x)) f(x)=x^24 ; Denominator (3x)=0 x=3 This means at x=3 function is not defined And by definition of domain The domain is where the function is not defined Domain is Range Put f(x)=y Range is the set of value that correspond to domain Equate the denominator to zero Denominator (y1)=0 y=1 This means at y=1 function is not defined Range is
Answer g(x) = 3x² Stepbystep explanation Since we have given that So, the function of g(x) would be since we have given that (1,3) on g(x means (x,ax) Here, x = 1 So, ax = 3 which implies that a = 3 So, g(x) would look like and the graph of g(x) is compressedG (x) is not actually defined at x=2 so we can't ask about its continuity or derivative at that x value For f (x) yes your reasoning is sound g ( x ) is not actually defined at x = 2 so we can't ask about its continuity or derivative at that x valueGraph f (x)=2 f (x) = 2 f ( x) = 2 Rewrite the function as an equation y = 2 y = 2 Use the slopeintercept form to find the slope and yintercept Tap for more steps The slopeintercept form is y = m x b y = m x b, where m m is the slope and b b is the yintercept y = m x b y = m x b Find the values of m m and b b using the
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f(g(x))=sqrt(x^42 and g(g(x))=x^4 As f(x)=sqrt(x^22) and g(x)=x^2 f(g(x))=sqrt((g(x))^22)=sqrt((x^2)^22) = sqrt(x^42 and g(g(x))=(x^2)^2=x^4There's not enough information about f to answer that question But, taking the fact that it would be rare to have a function for a linear answer for increasing values of the input that is, it would be weird to note a function for such a simpleJustine graphs the function f(x) = (x 7)2 1 On the same grid, she graphs the function g(x) = (x 6)2 3 Which transformation will map f(x) on to g(x)?
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Answer f (x)*g (x) = (tan (x) 2/x) (x² 8) Apply FOIL in multiplying binomials Multiply the First terms, next is the Outer terms, then the Inner terms, and lastly, the Last terms = tan (x³) 8 tan (x) 2x²/x 2 (8)/x Simplifying we get = tan (x³) 8 tan (x) 2x 16/xG(x) → "g of x" → "operation(s), g, applied to a given quantity or value , x" "g(x) = x1" tells you to simply subtract 1 from whatever xvalue is given g(5)= 5–1=4 g(6)= 6–1=5 g(9)= 9–1=8 g(x)=x1 f(x) → "f of x" → "operations, f, applied to a gReplace the x in the f(x) equation with the value of g(x) to get (x3)cubed 2That's it When you write f(x) = x3 2 That means x can be any number, equation or function and whatever that value is, it goes into x3 2
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Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!F (g (2)), g (x)=2x1, f (x)=x^2 \square! Answer it is a operation of functions in multiplication actually there are 4 operations addition (fg) (x)=f (x)g (x) subtraction (fg) (x)=f (x)g (x) division f f (x)
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The rule (f ∘ g)(x) = f (g(x)) Replace g(x) by √x (f ∘ g)(x) = f (√x) For any input (u), f gives (u)2, so f (√x) = (√x)2 But (√x)2 = x So we finish with (f ∘ g)(x) = x where x is in 0∞)Composite Functions – Explanation & Examples In mathematics, a function is a rule which relates a given set of inputs to a set of possible outputs The important point to note about a function is that each input is related to exactly one output The process of naming functions is known as function notation TheLearn how to solve f(g(x)) by replacing the x found in the outside function f(x) by g(x)
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Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more =x f(g(x))=2(x1)/21 =x11 =x The graph of f(x)=x^2 is called a "Parabola" It looks like this One of the ways to graph this is to use plug in a few xvalues and get an idea of the shape Since the x values keep getting squared, there is an exponential increase on either side of the yaxis You can see this by plugging in a few values When x=0, f(x)=0 x=1, f(x)=1^2=1 x=2,f(x)=2^2=4 x=3, f(x)=3^2=9 x=4, f(x)=4^2
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A composite function is a function which is made by combining two or more than two functions For example, if f(x) f ( x) and g(x) g ( x) are two functions, then we can define two compositeLeft 13 units, down 2 units right 13 units, down 2 units left 13 units, up 2 units right 13 units, up 2 unitsG(x), however, was the dependent variable in another equation, so it's value had to be calculated before you could put it into f(g(x)) that's exactly what we did above we solved for g(2) to get 7 then we solved for f(g(x)) to get f(7) = 3 you are placing g(x) into the argument of the equation f(x) = sqrt(x2) which means you are replacing
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The question needs to be made precise first One must clarify what mathf/math is supposed to be (a function from where to where?), and which are the numbers mathx/math for which the condition needs to hold (all numbers?Algebra Find g (f (x)) f (x)=2x^23 , g (x)=3x2 f (x) = 2x2 3 f ( x) = 2 x 2 3 , g (x) = 3x − 2 g ( x) = 3 x 2 Set up the composite result function g(f (x)) g ( f ( x)) Evaluate g(f (x)) g ( f ( x)) by substituting in the value of f f into g g g(2x2 3) = 3(2x2 3)−2 g ( 2 x 2 3) = 3 ( 2 x 2 3) 2 Simplify each termGraph f (x)=2x^2 f (x) = −2x2 f ( x) = 2 x 2 Find the properties of the given parabola Tap for more steps Rewrite the equation in vertex form Tap for more steps Complete the square for − 2 x 2 2 x 2 Tap for more steps Use the form a x 2 b x c a x 2 b x
F X X 2 What Is G X Brainly Com
F X X 2 What Is G X Brainly Com
To find the inverse of a function, simply switch the x and y variables and solve for y Let's apply this concept to the first function given and see if we end up with the second function Also, note f (x) is basically y f (x) = x3 2 y = x3 2 First switch the variables x = y3 2 Now we need to solve for y, so isolate y a^33a^2 Given f(x)=x^2,g(x)=x3 (f*g)(x)=x^2(x3) =x^33x^2 (f*g)(a)=(a)^33(a)^2 =a^33a^2 Let #f(x)=x^2# and #g(x)=x3# What is the value of #(f*g)(aFind g (f (x)) f (x)=x^23x , g (x)=2x2 f (x) = x2 − 3x f ( x) = x 2 3 x , g (x) = 2x 2 g ( x) = 2 x 2 Set up the composite result function g(f (x)) g ( f ( x)) Evaluate g(f (x)) g ( f ( x)) by substituting in the value of f f into g g g(x2 − 3x) = 2(x2 − 3x)2 g ( x 2 3 x) = 2 ( x 2 3 x) 2 Simplify each term
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Set up the composite result function Evaluate by substituting in the value of into Simplify each term Tap for more steps Rewrite as Expand using the FOIL Method Tap for more steps Apply the distributive property Apply the distributive propertyAxis of Symmetry x = 2 x = 2 Directrix y = −9 4 y = 9 4 Select a few x x values, and plug them into the equation to find the corresponding y y values The x x values should be selected around the vertex Tap for more steps Replace the variable x x with 1 1 in the expression f ( 1) = ( 1) 2 − 4 ⋅ 1 2 f ( 1) = ( 1) 2 4 ⋅ 1 2To find inverse function, just try getting x from the original function For example, inverse of f (x) = ln (x 2 ) would be f (x) = e x/2 Thus, If g (f (x)) = x, that means f (x) = g 1 (x) = (x2)/3 So, f (2) = (2 – 2)/3 = 0 2 level 1 cover 2 years ago There's always a simpleashell way to do these
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Select a few x x values, and plug them into the equation to find the corresponding y y values The x x values should be selected around the vertex Tap for more steps Replace the variable x x with − 1 1 in the expression f ( − 1) = ( − 1) 2 − 2 f ( 1) = ( 1) 2 2 Simplify the resultF f(x) = 2x2 and g(x) = 3x, what is (g o f)(x) a 6x2 b 9x2 c 18x2 d 8x4Extended Keyboard Examples Upload Random Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music
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