Given that f ( x ) = 8 x + 5 and g ( x ) = 4 − x 2 , calculate:

Question

a. f(g(0))

b. g(f(0))

Answer 1

Hello Mariah,

I will assume that f( x ) = 8x + 5 and g ( x ) = 4 − x²

a. f(g(0))

You want to work from the inside out. First you find g(0). You do that by replacing x in g(x) by 0:

g(0) = 4 - (0)² = 4

So finding f(g(0)) means finding f(4)

f(4) = 8(4) + 5 = 32 + 5 = 37

------> f(g(0)) = 37

b. g(f(0))

Again, from the inside out. You first find f(0)

f(0) = 8(0) + 5 = 5

Finding g(f(0)) means finding g(5). You do that by replacing x in g(x) by 5

g(5) = 4 - (5)²

I will leave the remaining couple steps up to you. You got this!