# Find the inverse of the function f(x)=4x^2-9 with domain x less than or equal to 0.f^-1(x)=

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Find the inverse of the function f(x)=4x^2-9 with domain x less than or equal to 0.

f^-1(x)=

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Step 1

We have to find inverse of f(x)  in given interval .

f(x) and interval is given by:

Step 2

First we will verify that f(x) is one to one or not in given domain.

For  this we will use horizontal line test, in this test draw a line parallel to x axis if it cuts the f(x) more than once then function is not one to one.

Now in this case we have verified the function is one to one by horizontal line test .

Work is shown below:

Step 3

Now for inverse of f(x) replace x with y and y with x t...

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