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2 years ago

What is the inverse of f(x)=(3x)2 for x≥0

Mathematics

1 answer:

vitfil [10]2 years ago

6 0

The inverse of the function f(x) = (3x)^2 is f-1(x) = 1/3√x

<h3>How to determine the inverse of the function?</h3>

The function is given as:

f(x) = (3x)^2

Remove the bracket in the above equation

So, we have:

f(x) = 9x^2

Express f(x) as y

So, we have

y = 9x^2

Swap the positions of x and y

So, we have

x = 9y^2

Make y the subject of the formula

y^2 = x/9

Take the square root of both sides

y = 1/3√x

Express as an inverse function

f-1(x) = 1/3√x

Hence, the inverse of the function f(x) = (3x)^2 is f-1(x) = 1/3√x

Read more about inverse functions at:

brainly.com/question/11735394

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