The graph of g(x) ​​is the graph of f(x)=5x+15 compressed horizontally by a factor of ​ 1/5 ​ .

Which equation describes the function g?

A. g(x)=25x+75 ​

B. g(x)=x+15 ​ ​

C. g(x)=x+3

​D. g(x)=25x+15 ​

Respuesta :

We can easily get the function of g when looking at the graph, but sadly you don't attached any graph in this question.
f(x) = 5x + 15
y = 5x + 15  (f(x) is also equal to y)
0 = 5x + 15  (change the y into 0)
5x = 15 
x = 15/3 
x = 3 or 0 = x + 3

so basically g(x) = x +3

The answer is C. g(x) x + 3