Question

In this composite function, (f◦g)(x) where f(x)=(X-3) and g(x)=X^2 what is (f◦g)(x) when x=1?

Answer 1

When x = 1, (f◦g)(x) is -2.

Explanation:

Composite function:

The composite function of f and g is given by:

`(f \circ g)(x) = f(g(x))`

In this question:

`f(x) = x - 3, g(x) = x^2`

Composite function:

The composite function is:

`f(g(x)) = f(x^2) = x^2 - 3`

At x = 1

`(f \circ g)(1) = 1^2 - 3 = 1 - 3 = -2`

So

When x = 1, (f◦g)(x) is -2.