Question

Find a formula for the inverse of the given function.f(x) = 8x + 5y =

Answer 1

`f^(-1)(x)\text{ = }\frac{x\text{ - 5}}{8}`

Step-by-step explanation

We are given the function:

f(x) = 8x + 5

To find the inverse of the function, first replace f(x) with y:

y = 8x + 5

Now, make x the subject of the formula:

y - 5 = 8x

`\Rightarrow\text{ x = }\frac{y\text{ - 5}}{8}`

Now, replace x with f-1(x) and y with x:

`f^(-1)(x)\text{ = }\frac{x\text{ - 5}}{8}`

That is the inverse of the given function.