Question

Consider this function. f(x)-3x+3. Which graph represents the inverse of function f?

Answer 1

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Answer:

  graph Y

Step-by-step explanation:

The inverse function can be found by solving ...

  x = f(y)

  x = -3y +3

  x -3 = -3y . . . . . subtract 3; next, divide by -3

  y = -1/3x +1 . . . . . matches graph Y

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Additional comment

Writing the original equation in standard form can help you see its intercepts.

  3x +y = 3

  3x = 3   ⇒   x = 1 . . . . x-intercept (at y=0)

  y = 3   . . . . y-intercept (at x=0)

The inverse function has the x- and y-intercepts swapped, so you're looking for a line through (0, 1) and (3, 0). The lower left graph (Y) is that graph.