Answer:
g(x) = 4x - 1
Step-by-step explanation:
Linear function in the format: g(x) = ax + b
g(2t) is a*(2t)+b
g(2t) = 8t - 1 means that:
when x = 2t, g = 8t - 1.
So
Equaling both sides
8t - 1 = a*2t + b
So
b = -1,
and
2a = 8, a = 8/2, a = 4
So
g(x) = 4x - 1
