Question

What is the inverse function of f(x) = 25x-3?

Answer 1

Answer:

The answer is

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

Step-by-step 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

$\frac{25y}{25} = \frac{x + 3}{25}$

We have the final answer as

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

Hope this helps you