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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?

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 class=

Respuesta :

mhanifa

Answer:

  • A. g(x) = 1/3x + 1

Step-by-step 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

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