Question

Let f(x) = x + 8 and g(x) = x2 - 6x - 7. Find f(g(2))

Answer 1

f(g(x)) = g(x) + 8
= (x^2 - 6x - 7) + 8
= x^2 - 6x - 7 + 8
= x^2 - 6x + 1

f(g(2)) = (2)^2 - 6(2) + 1

Answer 2

Let f(x) = 2x + 2. Solve f-1(x) when x = 4.

Answer 3

Find the inverse of f(x). Let y = f(x)

y = 2x + 2
x = 2y + 2
x - 2 = 2y

\(\dfrac{x - 2}{2} = y\)

\(\dfrac{x - 2}{2} = f^{-1}(x)\)

Answer 4

Finish it

Answer 5

1?

Answer 6

Let f(x) = x - 2 and g(x) = x2 - 7x - 9. Find f(g(-1))

Answer 7

Plug -1 in for x in the g(x) equation. then plug that answer in for x in the f(x) equation

Answer 8

i got it, it was -3