Question

Evaluate each of the following given the function definitions and input values. Show your work.

f(x)=3x+7
g(x)=3x²
h(x)=√x-5
1. f(−4) =
2. f(2) =
3. g(2) =
4. g(-3) =
5. h(41) =
6. h(14) =




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Answer 1

F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x

F(3) = 3(3)^2 + 1 = 27 + 1 = 28

G(4) = 2(4) - 3 = 8 - 3 = 5

2H(5) = 2(5) = 10

F(3) + G(4) - 2H(5) = 28 + 5 - 10

F(3) + G(4) - 2H(5) = 23

question 2

Given: F(x) = 5x - 6 and G(x) = x - 4

(FoG) (x) = F(G(x)) = 5(x-4) - 6

= 5x - 20 - 6

= 5x - 26

Inverse

x = 5y - 26

5y = x + 26

y = x/5 + 26/5

So

(FoG) -1 (x) = x/5 + 26/5