Question

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

-7

-3

10

33

Answer 1

Start by plugging in 2 to g(x)
2^2 - (6*2) - 7

Answer 2

okay now what

Answer 3

What'd you get? Plug what you get into f(x)

Answer 4

f(g(x)) = f(x^2-6x-7)

= x^2-6x -7 + 8

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

So,

f(g(2)) = (2)^2-6(2) +1
= 4-12 + 1

=5-12

= -7