Question

Consider the function f(x) = (3x-7)/2 with a domain of - ∞ < x < ∞

what is the range of f^-1(x) [this is the inverse function]

a. - ∞ <_ x <_ ∞
b. - ∞ < x < ∞
c. - ∞ < f^-1(x) < ∞
d. - ∞ <_ f^-1(x) <_ ∞

please help and thank you!!

Answer 1

Here we have to use the fact that the domain of the function is equal to the range of the inverse function and range of the function is equal to the domain of the inverse function .

In the given question , the domain of the given function is given. So the range of the given option is same as the domain.

Therefore the correct option is c.