1 Answer

Helgi · Answer 1 · 2021-04-25T06:51:52+0000

Answer:

The answer is

${f}^( - 1) (x) = (x +3 )/(25)$

Explanation:

f(x) = 25x - 3

To find the inverse of f(x) , equate f(x) to y

That's

y = f(x)

We have

y = 25x - 3

Next interchange the terms that's x becomes y and y becomes x

x = 25y - 3

Next solve for y

Move 3 to the other side of the equation

That's

25y = x + 3

Divide both sides by 25

(25y)/(25) = (x + 3)/(25)

We have the final answer as

${f}^( - 1) (x) = (x +3 )/(25)$

Hope this helps you