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Find the inverse function f -1 of the function f. Find the range of f and the domain and range of f -1.

Find the inverse function f^-1 of the function f. Find the range of f and the domain and range of f^-1.

asked Jan 26, 2015 in PRECALCULUS by anonymous

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2 Answers

Step 1:

The function is

The domain of the function is .

Consider

Find the inverse function.

Interchange the variables and .

The inverse function is .

Step 2:

Find the range of function.

.

The range of lies in .

Also, the range of lies in .

The range of is .

The range of is equal to the domain of .

The domain of is .

answered Jan 28, 2015 by james Pupil

Step 3:

The inverse function is .

The domain of is .

The domain of is equal to the range of .

The range of is .

Solution:

The inverse function is .

The range of is .

The domain of is .

The range of is .

answered Jan 28, 2015 by james Pupil
edited Jan 28, 2015 by james

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