How do i find the inverse of the function?

Question

If $h(x) =4x+5$, how do i find h inverse of x?

Answer 1

Hey there bro. Let me teach you a trick to solving simple inverse functions. Let's use your question as an example. Let's switch the x and the y. This will give us $x = 4y + 5$. Now try and isolate the y again. You should end up with $y = (x-5)/4$. have fun!

Comments

Thanks for the help man!

Answer 2

You need to find $y$ based on $x$.
$h(x) = y = 4x + 5$

$y-5= 4x$

$x = \frac{y-5}{4}$
Now, from the above equation, you can define a function which is inverse function:

$g(y)= \frac{y-5}{4}$