Question

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

Answer 1

Answer:

Option (a) is true.

Step-by-step 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.