Question
Suppose g(x)=4x^2+8x+13. Does g have an inverse? If so, find g^{-1}(25)
Answers
Steve
since g(x) is a parabola, there are two values of x for every value of g.
So, there is no inverse.
However, if you pick a single branch of the parabola (that is, you restrict the domain), there is an inverse.
So, there is no inverse.
However, if you pick a single branch of the parabola (that is, you restrict the domain), there is an inverse.