Question

Consider the function.

Answer 1

Answer: (2 1/2, 0) (the last option)

Step-by-step explanation:

I guess the function is:

f(x) = (2  1/2) - (3  1/2)*x

now, the rule for f-1(x) that we know is:

f-1( f(x) ) = x.

So if we want to find the x-intercept of f-1(x), we must evaluate it in f(0)

f-1(f(0)) = 0.

And we have that f(0) = (2  1/2) - (3  1/3)*x = 2  1/2

This means that the x-intercept of f-1(x) will be when x= 2  1/2, so the intercept is:

(2 1/2, 0)