Question

Given f(x) = 2x2 – 1 and g(x) = x + 3, find f(g(-5))

Answer 1

7

Explanation:

f(x) = 2x2 – 1 and g(x) = x + 3,

f(g(-5))

First find g(-5)

g(-5) = -5 + 3

g(-5) = -2

Then substitute into f(x)

f(-2) = 2 ( -2) ^2 -1

= 2 ( 4) -1

= 8-1

= 7