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)=√(x)`

To find:

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

Solution:

We have,

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

`g(x)=√(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(√(1))`
`[\because g(x)=√(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.