In Problems 11–20, for the given functions f and g. find: (a) (f° g)(4) (b) (g•f)(2) (c) (fof)(1) (d) (g ° g)(0) \ 11. f(x) = 2x; g(x) = 3x² + 1 12. f(x) = 3x + 2; g(x) = 2x² – 1 1 13. f(x) = 4x² – 3; g(x) = 3 14. f(x) = 2x²; g(x) = 1 – 3x² 15. f(x) = Vx; 8(x) = 2x 16. f(x) = Vx + 1; g(x) = 3x %3D 1. 17. f(x) = |x|; g(x) = 18. f(x) = |x – 2|: g(x) x² + 2 2 x + 1 x² + 1 19. f(x) = 3 8(x) = Vĩ 20. f(x) = x³/2; g(x) = X + 1'

Q: If f′(2)=3, and g(x)=9f(x), what is g′(2)?

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Q: 23. If f(5) = 4, fi(5) = –1, g(5) = 2, and g/(5) = -3, find h/(5) for each of the following…

A: Given:

Q: suppose f (2) = 4, f ′(2) = 6, g(2) = −1, g′(2) = 3, and f ′(−1) = 5. Give h′(2) when h is defined…

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Q: 1. If f(x) = x-1 and g(x) = 2x, what is g(f(x))? c. 2x -1 %3D а. х-2 b. 2х-1 d. 2x-2

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Q: Which of the following Functions are inverses to each other: Vx+8 A- f(x) = (4x – 3), g(x) = 7. B-…

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Q: what is a function that takes the same value as im(z) on  γ(0;1)

A: We are to find out the function that takes the same value as im(z) on γ(0;1)   There are many…

Q: Given that f(x) = 8x (a) f(g(0))= (b) g(ƒ(0))= - 6 and g(x) = 6 x², calculate

A: f(x)=8x-6g(x)=6-x2

Q: ( 2x -. Is g(x) continuous at 2?

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Q: Suppose that f(x)f(x) is a function with f(90)=64 and f′(90)=4 Estimate f(92) f(92) =

A: Use the information on f(x) and f'(x) at x=90 to find the approximate value of f(92) (using…

Q: 4. Let f(x)= |x| and g(x) = x-3. (a) Determine the formulas for each of the related composite…

A: The composite function is defined as when the output of one function is used as the input of another…

Q: The U.S. Department of Health and Human Services provides a summary of the number and rate of…

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Q: 9. If (x-1)/(x) 3x²45x-2 X x²+2x 2x²-x-1 x² g(x) 6x²+x-1 find a relationship between f(x) and g(x).…

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Q: 1. Determine if the following functions are continous at the interval I (a) f(x) = x – 1; I=[-2,2]…

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Q: I don't really understand the question below Given f(x) with f(1) = 2 and f′(1) = 5, find (a):…

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Q: Find (f-¹)'(-6) given the following table of values. (Enter an exact answer.) Provide your answer…

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Q: If f(x) is a linear function, f( – 5) = - 5, and f(5) = – 3, find an equation for f(x) Submit…

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Q: 8. Given the function h(x)=Vx² - 4 +Vx+2, find h(2), h(0), and h(-x).

A: h(x) is given. We have to find h(2), h(0) and h(-x)

Q: State the parent function of the equation f(x) = 3Vx +2+1 and the transformations that we applied. 5

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Q: Find the fixed points of the following functions: (a)         f(z) = 4z3   (b)           g(z) =…

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Q: If s(0)=−4, s(7)=−5, f(0)=2, and s′(x)=f′(x) on [0,7], determine the value of f(7)? (Do not include…

A: We have to determine the value of f7  given,  s0=-4, s7=-5, f0=2 and s'x=f'x on 0,7 Since, s'x=f'x…

Q: 1. Fit the function g(x) = v1x + v2 (x – 1)3 to the data in table below. Xi -1 1 Yi 2 1 -1

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Q: 4. Find the functions f(x), g(x),h(x) that satisfy: f(g(h(x))) = 2.

A: A composite function is created when one function is substituted into another function .

Q: 3b.

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Q: 19) If f(x) = 3x + 1 and g(x) = 5 – x°, find g(f(x)).

A: Given: