203k views
3 votes
If f(x) = x + 4 and g(x)=x²-1, what is (gof)(x)?

(gof)(x)=x²-1
(gof)(x)=x² +8x+16
(gof)(x)=x²+8x+15
(gof)(x)=x²+3

User Miyamoto
by
8.6k points

1 Answer

2 votes

Answer:

(g ○ f)(x) = x² + 8x + 15

Explanation:

to find (g ○ f)(x) substitute x = f(x) into g(x)

(g ○ f)(x)

= g(f(x))

= g(x + 4)

= (x + 4)² - 1 ← expand factor using FOIL

= x² + 8x + 16 - 1 ← collect like terms

= x² + 8x + 15

User Oreoluwa
by
8.4k points

No related questions found