Ok here is teh question, there is parts a-e, i have a-d answered correctly, but am having trouble on e.(adsbygoogle = window.adsbygoogle || []).push({});

Q: A function g is g(x)=4(x-3)^2 + 1

a) Graph g and the inverse of g. (Already completed)

b) At what points do g and the inverse of g intersect. (completed)

c) Determine an equation that defines the inverse of g.

the answer is y=3 +/- (root of (x-1/4) )

d) State restrictions on the domain or range of g so that its inverse is a function.

i got x is greater or equal to 3 and x is less than or equal to 3

then finally

e) Suppose teh domain of g is {x|2 < or equal to x < or equal to 5, XER}

Would the inverse be a function? Justify your answer.

Ok. The answers say the inverse is not a function because the

inverse of g (5) = 2 and

inverse of g (5) =4

i guess that makes sense because there is two y coordinates for that x. My question how do you algabraically solve that. Help would be appreciated. Thanks

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# Investigating Properties of Inverse Functions

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