Question

A function and its inverse are shown on the same graph.



Which statement describes the relationship between the function and its inverse?

The slope of f–1(x) is the same as the slope of f(x).
The slope of f–1(x) is the opposite as the slope of f(x).
The x-intercept of f–1(x) is the same as the y-intercept of f(x).
The x-intercept of f–1(x) is half of the y-intercept of f(x).

Answer 1

The x-intercept of f⁻¹(x) equals the y-intercept of f(x).

Reason: inverse functions swap x and y, so the point (0, b) on f becomes (b, 0) on f⁻¹. Thus the x-intercept of f⁻¹ is the y-intercept of f.