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

Answer:

When x = 1, (f◦g)(x) is -2.

Step-by-step 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.