Question

Let f(x) =x+5 and g(x)=x^2-3 then f(g(x)) =?

(a)x^2 + 2
(b)x^2 - 2
(c)x^2+1
(d)2x^2 + 2

Answer 1

Option (a) is true.

Explanation:

Given the function

`f(x)=x+5`

`g\left(x\right)=x^2-3`

(f∘g)(x) = f(g(x)) = f(x²-3) = (x²-3)+5

= x² + 2

Thus,

f(g(x)) = x² + 2

Therefore, option (a) is true.