Question

If the graph of the function f (X) is represented in the attached figure, which of the graphs presented in the options represents the graph of its inverse function?

Answer 1

• A. g(x) = 1/3x + 1

Explanation:

The line has points:

• (0, -3) and (1, 0)

It has y-intercept b = -3 and a slope:

• m = (0 + 3)/1 = 3

The equation:

• f(x) = 3x - 3

It inverse is (let's call it g(x)):

• x = 3y - 3
• 3y = x + 3
• y = 1/3x + 1
• g(x) = 1/3x + 1

The slope of the inverse function is 1/3 and the y-intercept is 1

The graph reflecting this is A