Answer:
[tex]g(x) = (54,-2)[/tex]
Step-by-step explanation:
Given
[tex]y = f(x)[/tex]
[tex](x,y) = (18,5)[/tex]
Required
Determine [tex]g(x)[/tex]
Where
[tex]g(x) = f(3x) - 7[/tex]
First, we have:
[tex](x,y) = (18,5)[/tex] --- for f(x)
Multiply x by 3
[tex](3x,y) = (3*18,5)[/tex]
[tex](3x,y) = (54,5)[/tex]
This implies that:
[tex]f(3x) = (54,5)[/tex]
Solving further:
[tex]f(3x) -7= (54,5-7)[/tex]
[tex]f(3x) -7= (54,-2)[/tex]
So:
[tex]g(x) = f(3x) -7[/tex]
[tex]g(x) = (54,-2)[/tex]
