Answer:
(-7,3)
Step-by-step explanation:
Given that point (-7,1) is on the graph of f(x), means that
[tex]f(-7)=1[/tex]
To find the corresponding point for the function y=3f(x), you have to find the value of the function at x=-7.
Substitute x=-7 into the function's expression:
[tex]y=3f(-7)[/tex]
Since f(-7)=1, we have that
[tex]y=3\cdot 1=3[/tex]
Hence, the corresponding point has coordinates (-7,3)