Question

Given f (x) = 1/4x-3/4 Find f^-1

Answer 1

The inverse of a function f(x) is f⁻¹(x) = 4x + 3 after using the concept of the inverse of a function.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

$\rm f(x) = \dfrac{1}{4}x-\dfrac{3}{4}$

To find the inverse of a function:

Interchange the f(x) and x

f(x) → x

x → f⁻¹(x)

$\rm x = \dfrac{1}{4}f^{-1}(x)-\dfrac{3}{4}$

Make the subject f(x);

$\rm \dfrac{1}{4}f^-^1(x)=x+\dfrac{3}{4}$

$\rm f^-^1(x)=4x+3$

Thus, the inverse of a function f(x) is f⁻¹(x) = 4x + 3 after using the concept of the inverse of a function.

Learn more about the function here:

brainly.com/question/5245372

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