Question

Given f (x) = x +1 and g(x) = x², what is (gºf)(x)?

A) (gºf)(x) = x² + x +1

B) (gºf)(2) = (x + 1)^2

C) (gºf)(x) = 2^2 (x + 1)

D) (g°f)(x) = x^2 +1

Answer 1

Solution given:

f(x) = x +1 and g(x) = x²,

now

(gºf)(x) =g(fx)=g(x+1)=(x+1)²

B) (gºf)(x) = (x + 1)^2