Question

My question is what the answer to letter b is

Answer 1

The graph y=g(x) is the graph of y=f(x) escalated horizontally by expansion by a factor of 3 and escalated vertically by expansion by a factor of 4.

Since the graph of y=f(x) is stretched horizontally by factor 3, therefore, the new graph will be

`y=f((1)/(3)x)`

Again, it is stretched vertically by a factor 4 and 4>1.

Therefore, the equation of y=g(x) in terms of f(x) is

`g(x)=4f((1)/(3)x)`