Question

If g(x) = f(1/3), which statement is true?

A) g(x) is the inverse of f(x).
B) g(x) is the composite function of f(x).
C) g(x) is obtained by scaling f(x) horizontally by a factor of 3.
D) g(x) is obtained by shifting f(x) horizontally by a factor of 3.

Answer 1

The correct statement is C) g(x) is obtained by scaling f(x) horizontally by a factor of 3.

Step-by-step explanation:

The correct statement is C) g(x) is obtained by scaling f(x) horizontally by a factor of 3.

When we have the equation g(x) = f(1/3), it means that we are substituting the value 1/3 into the function f(x). This is equivalent to scaling the graph of f(x) horizontally by a factor of 3.

The graph of g(x) will be a compressed version of f(x) where each x-coordinate is multiplied by 3.