Question

9. The function f (x) is shown graphed below. The function g is determined by the formula g(x) = 3f (x)-2 for all values of x in the domain of f. Which of the following is the value of g(2)?

Answer 1

Answer:

  (1)  -5

Step-by-step explanation:

Put the value where the variable is, read the graph, and do the arithmetic.

  g(2) = 3f(2) -2 = 3(-1) -2

  g(2) = -5

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Additional comment

f(2) is the point on the graph where it is 2 units to the right of the y-axis. At that point, the graph is 1 unit below the x-axis, so f(2) = -1.