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Inverse function

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Find inverse of function g(X)=5^3x+1 -6 and state domain and range. The equation is not divided by 6 but just is -6. The -6 is not part of the exponent
closed with the note: Not needed
asked Jun 30, 2016 in PRECALCULUS by anonymous
closed Jul 1, 2016

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
The equation is setup wrong. 3x-1 is the exponent after 5, and the -6 is another number not related to the exponent

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