Question

Harco Find the inverse function f-¹(x) for the given function f(x). 5. f(x) = 4x-8

Answer 1

The inverse function for the given function f(x) = 4x - 2 is x/4 + 2

or, f⁻¹(x) = x/4 + 2

Given function, f(x) = 4x-8

We have to find f⁻¹(x)

f(x) = 4x - 8

or, y = 4x - 8

Interchanging the x variable with y,

x = 4y - 8

Solving y,

x = 4(y - 2)

or, x/4 = y - 2

or, y = x/4 + 2

Now, replacing y with  f⁻¹(x), we get;

f⁻¹(x) = x/4 + 2

For verifying, you can use

(f · f⁻¹ )(x) = x

Therefore, the inverse function of f(x) is x/4 + 2.

To learn more about the inverse functions, visit: brainly.com/question/14965513

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