Question

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

Answer 1

Answer:

The correct option is;

a. 0

Step-by-step explanation:

The given parameters are;

f(x) = x² - 1

g(x)  = √x

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

$(f \circ g)(x) = f(g(x)) = f(\sqrt{x} ) = (\sqrt{x} )^2 -1 1 = x - 1$

Therefore, we have;

$(f \circ g)(1) = f(g(1)) = f(\sqrt{1} ) = (\sqrt{1} )^2 -1 1 = 1 - 1 = 0$

Therefore;

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