Question

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

Answer 1

Answer:

$g(y)= \frac{5}{2y-8}$

Step-by-step 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.

$h(x) = \frac{5}{2x} +4$

or $y = \frac{5}{2x} +4$

Let's rearrange this function in steps:

$y-4= \frac{5}{2x}$

$2x= \frac{5}{y-4}$

$x= \frac{5}{2y-8}$

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

$g(y)= \frac{5}{2y-8}$

This is the inverse of the function h(x)