Question

Write a function g in terms of f so that the statement is true

Answer 1

Horizontal changes are often the opposite of what you'd expect to see in the formula.

12:

To shrink/compress horizontally by a factor of 2/3, you need
`g(x) = f((3)/(2)x)`.

Notice we have the reciprocal inside of the function notation.

13:

To translate left 5 units, you have
`g(x) = f( x+5 )`.

Notice we have the opposite sign inside of the function notation.