Question

What is the inverse of the function h(x) = 5/2x +4?​

Answer 1

`g(y)= (5)/(2y-8)`

Explanation:

An inverse function (or anti-function) is a function that "reverses" another function. Let's say that a function f is applied to an input x and it gives a result y, then an inverse function is one, which gives a result x when and input of y is given i.e., f(x) = y if and only if g(y) = x.

`h(x) = (5)/(2x) +4`

or
`y = (5)/(2x) +4`

Let's rearrange this function in steps:

`y-4= (5)/(2x)`

`2x= (5)/(y-4)`

`x= (5)/(2y-8)`

Now, this is a function of y and is of the form g(y)=x

`g(y)= (5)/(2y-8)`

This is the inverse of the function h(x)