Given: f (x) = x^ (2) - 3 and g (x) = x+1 the composite function g*f is

Question

Mathematics

Skyler Stafford

1 September, 22:07

Given: f (x) = x^ (2) - 3 and g (x) = x+1 the composite function g*f is

+4

Answers (2)

Know the Answer?

Julianne Barron · Answer 1

Julianne Barron 1 September, 23:11

0

Answer: x³ + x² - 3x - 3

Lola Walls · Answer 2

x³ + x² - 3x - 3

Step-by-step explanation:

I'm assuming g*f means g times f, so you want to multiply the two functions together.

(x² - 3) (x + 1) Since the product is 2 binomials, use FOIL

= x² (x) + x² (1) - 3 (x) - 3 (1)

which simplifies to

x³ + x² - 3x - 3