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Inverse function

0 votes
Find inverse function g(x)=5^3x+1 -6 and state domain and range. (-6 is not part of the exponent)
asked Jun 30, 2016 in PRECALCULUS by anonymous

1 Answer

0 votes

Step 1:

The function is image.

The function is a linear function with positive slope,hence it is one-to-one function.

Therefore, the inverse of the function exist.

Find the inverse of the function.

Consider image and solve in terms of .

image

Interchange and .

image

Replace image.

image

Since, Substitute image in inverse function then it is represents always negative.

Therefore, the domain of the function is image and range is image.

Solution:
The inverse of image is image.

The domain of the function is image and range is image.

answered Jun 30, 2016 by Anney Mentor

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