Question

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

h(x) = f(g(x)).
(Use non-identity functions for
f(x) and g(x).)
h(x) = 5/x-4

Answer 1

`f(x) = (5)/(x)`

`g(x) = x - 4`

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) = (5)/(x)`

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

`g(x) = x - 4`