Question

If f(x) = x + 4 and g(x) = x^2-1, what is
(gºf)(x)?

Answer 1

x² + 8x + 15

Explanation:

(gºf)(x) = g((f(x)) = (x+4)² - 1 = x² + 8x + 16 - 1 = x² + 8x + 15

Answer 2

`x^2+8x+15`

Explanation:

`f(x)=x+4 \\\\g(x)=x^2-1 \\\\(g\circ f)(x)=(x+4)^2-1=\\\\x^2+8x+16-1=\\\\x^2+8x+15`

Hope this helps!