Answer:
g(x) = 4x - 1
Step-by-step explanation:
We have that:
[tex]g(x) = ax + b[/tex]
So
[tex]g(2t) = a*(2t) + b[/tex]
Equaling both sides:
[tex]g(2t) = 8t - 1[/tex]
[tex]a*(2t) + b = 8t - 1[/tex]
b = -1.
And
[tex]2a = 8[/tex]
[tex]a = \frac{8}{2}[/tex]
[tex]a = 4[/tex]
Then
g(x) = 4x - 1
