Question

Find (fºg)(1) f(x) = x² - 1 g(x) = √x A.0 B.1 C.4 √2 D. √8

Answer 1

Given:

The function are

$f(x)=x^2-1$

$g(x)=\sqrt{x}$

To find:

The value of $(f\circ g)(1)$.

Solution:

We have,

$f(x)=x^2-1$

$g(x)=\sqrt{x}$

We need to find the value of $(f\circ g)(1)$.

$(f\circ g)(1)=f(g(1))$            $[\because (f\circ g)(x)=f(g(x))]$

$(f\circ g)(1)=f(\sqrt{1})$            $[\because g(x)=\sqrt{x}]$

$(f\circ g)(1)=f(1)$      

$(f\circ g)(1)=(1)^2-1$                  $[\because f(x)=x^2-1]$

$(f\circ g)(1)=1-1$      

$(f\circ g)(1)=0$      

The value of $(f\circ g)(1)$ is 0.

Therefore, the correct option is A.