Question

Find functions f(x) and g(x) so the given function can be expressed as

Answer 1

Answer:

$f(x) = \frac{5}{x}$

$g(x) = x - 4$

Step-by-step explanation:

Composite function:

$h(x) = f(g(x)) = (f \circ g)(x)$

h(x) = 5/x-4

We have x on the denominator and not the numerator, so the outer function is given by:

$f(x) = \frac{5}{x}$

The denominator is x - 4, so this is the inner function, so:

$g(x) = x - 4$