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f(x)=2/3x^2-3/4x+6

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Restrict the domain of the function f(x)=2/3x^2-3/4x+6 so that an inverse exists on the restricted domain? What is the restricted domain?
asked Mar 11, 2014 in ALGEBRA 2 by homeworkhelp Mentor

1 Answer

0 votes

Function

Let us find the inverse of the function to restrict the domain of the function so that

the inverse of the function restricted on domain.

To find the inverse substitute x for y and solve for y.

image

image

image

Multiply each side by 2

image

image

image

image

image

image

image

image

image

image

So, the inverse of the function is image

.

The domain of this function is

Since in a square root there shouldn't be any negative value

Therefore, image

image

The domain of the function so that inverse exists on this function is image.

The restricted domain is all values of x such that image

answered Apr 15, 2014 by Johncena Apprentice

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