Let f and g have the values given in the table below. -2 0 1 2 f(x) 1 0 -2 2 | 1 g(x) -1 1 2 0 1. If f (2a) = 2, what is the value of a? Show work. 2. Find the value of x for which g (f (x)) = 2. Show your work or explain your method.

Q: Given that f(x) = 2x² 2x and g(x) = 3x - 6, find the functions below. Simplify answers completely.…

A: Given query is to find indicated composite function

Q: 3 If f(x) = and g(x) = 4*, find: x-4

A: The given functions

Q: 5. Given the functions f(x) = x² – 8 and g(x) = -5 – x, find h(x) = f(g(x)). a. h(x) = x² + 10x + 17…

A: (5) given fx=x2-8 and gx=-5-x claim- to find hx=fgx put value of gx in fx hx=f-5-x        =-5-x2-8…

Q: Let f(x)=x²-x and g(x)=2x + 7. Find and simplify the following. 4. (gof)(x)

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Q: For numbers 11-1 refer to the figure bele r(x)=2x- <-2 JNE, 2 11. Evaluate r(2) a. -11 12. Find…

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Q: f(x) a. f(-3) b. f(3) c. For what value of x is f(x) = 12? -5 4 -3 8 12 16 20 3.

A: Given table:

Q: Can you check it please?

A: To verify thesteps in the  simplification

Q: For f(x) = x2 +3 and g(x) = x² - 7, find the following functions. a. (fo g)(x); b. (g o f)(x); c.…

A: f(x)=x2+3 and g(x)=x2-7

Q: -4x+12 ifxS-8 For the function, f(x)= 5 if-8<x<5.find the following. if x25 (c) f(-4.3) (1(6) |-(0)…

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Q: For the functions f(x) and g(x), evaluate the indicated function. 3) Find (2) when f(x) = x - 1 and…

A: See the details solution Below

Q: Show how to find the domain of the function

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Q: (1 point) Let f(r) = 12 - 6x and g(x) = x – 6. Evaluate the following: | 1. (fog)(z)= 2. (go f)(z)=…

A: The composition if two functions can be defined as when we combine two functions in such way that…

Q: Use the function to evaluate the indicated expressions and simplify. f(x) = 6x – 21 f(x) 3 6. Find…

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Q: 2 4x f(x) = * - 9 I + 2

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Q: f(x) = 3x + 1, g(x) = x², h(x) = x + 3, find f(x) ÷ g(x) %3D %3D

A: we have given  f(x) = 3x +1 g(x) = x2 we need to find f(x) ÷ g(x)

Q: The functions q and are defined as follows. g(x) = -2x+2 r(x) = -x² - 1 Find the value of g (r (5)).…

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Q: f(x) a. f(-2) X b. f(2) c. For what value of x is f(x) = 9? -4 3 -2 12 4 15 2.

A: Given table values are:                                             x f(x) -4 3 -2 6 0 9…

Q: Describe how f(x) = Vx was transformed to produce each function. %3D 10. f(x) = -6V-x –3 11. f(x) =…

A: We need to find transformation used.

Q: Express the function h(z) Your answer is f(2)= Calculator Check Answer 1 in the form fo g. If g(z) =…

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Q: For the given functions f and g, find the requested function and state its domain. 7) f(x) = 3x - 8;…

A: f.g(x) = f(x).g(x)