determine whether the given function is one-to-one. If it is one-to-one, find a formula for the inverse.
f(x)=8x^2-9,x≥0

Question

determine whether the given function is one-to-one. If it is one-to-one, find a formula for the inverse.
f(x)=8x^2-9,x≥0

anonymous · Answer

given the domain, I can visualise that it's half a quadratic

anonymous · Answer

that would mean that there will be only one x-coordinate that is corresponding to one y-coordinate. This answers your first question. For the second question, let swap x and y in the equation and solve for y. So f(x) becomes x and f^-1 becomes y

anonymous · Answer

note that the domain of the first equation becomes the range for the second equation

anonymous · Answer

@georgeblue22 the options are with a f-1(x)= a) √8/x+9 b) 8/√x+9 c) √x+9/8 d) not one to one

anonymous · Answer

what do you think the answer is? try working it out :)