Question

Find (f•g)(1)
f(x) = x^2-1
g(x) = sqrt. X

Answer 1

The correct option is;

a. 0

Explanation:

The given parameters are;

f(x) = x² - 1

g(x) = √x

When carrying out operations in composite functions, we proceed as follows

`(f \circ g)(x) = f(g(x)) = f(√(x) ) = (√(x) )^2 -1 1 = x - 1`

Therefore, we have;

`(f \circ g)(1) = f(g(1)) = f(√(1) ) = (√(1) )^2 -1 1 = 1 - 1 = 0`

Therefore;

`(f \circ g)(1) = 0`