Which statement could be used to explain why the function h(x)=x^3 has an inverse relation that is also a function

the graph of h(x) passes the vlt

the graph of the inverse of h(x) is a vertical line

the graph of the inverse of h(x) passes the hlt

the graph of h(x) passes the hlt

ANSWER

C) the graph of the inverse of h(x) passes the HLT

EXPLANATION

The given equation is



This function has an inverse relation which is also a function because the inverse of h(x) is a one-to-one function.

As a result, a horizontal line drawn across the graph of the inverse of



will the intersect the graph at one and only one point.

We say, the graph passes the Horizontal Line Test (HLT).

C) the graph of the inverse of h(x) passes the HLT

In the first triangle 80+20+p=180 (since sum of all angles of a triangle is 180)so p= 80also in second triangle 55+45+q=180 (since sum of all angles of a triangle is 180)so q=80so we can conclude that p=80 degrees q=80 degrees so p=q=80 degreeshence option b is correct