f : R → R and g : \[0, ∞) → R are defined by f(x) = x2 and g... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

f : R → R and g : [0, ∞) → R are defined by f(x) = x2 and g(x)= $\sqrt{x}$ . Which one of the following is not true ?

A

(fog)(2) = 2

B

(gof)(4) = 4

C

(gof)(-2) = 2

D

(fog)(-4) = 4

Answer

(fog)(-4) = 4

Explanation

Solution

The correct answer is (D) : (fog)(-4) = 4.