Question

which function has an inverse that is also a function? a. g(x) = 2x-3 b. k(x) = -9x2 c. f(x) |x+2| d. w(x) = -20

Answer 1

Answer:

A

Step-by-step explanation:

A function have the inverse only if it passes the horizontal line test ,

For the given options we need to look for the function which passes the horizontal line test

Option A is g(x)= 2x-3 which is a straight line with slope not equal to 0 so it passes the horizontal line test and hence it will have an inverse which is also a function.

Option B: we need to restrict the domain to get the inverse so the option B is not correct .

Option C : It also fails the horizontal line test .

Option D : Horizontal line so it also fails the horizontal line test .