Question

A linear function is shown below. What point is on the graph of the inverse of this function?

a. (1, -1)


b. (-3, 5)


c. (-4, 0)


d. (7, 1)

Answer 1

c. (-4, 0)

Explanation:

F(X) = -3X - 4

Y = -3X-4

SWAP X AND Y: x = -3y -4

y = -1/3x - 4/3

f⁻¹(x) = -1/3x - 4/3

point (-4,0): x = -4 y = f⁻¹(-4) = (-1/3)*(-4) - 4/3 = 4/3 - 4/3 = 0