sliuca2006 sliuca2006

01-06-2020
Mathematics

contestada

Find g(x) if it is known that g(2t)=8t−1.

Respuesta :

joaobezerra joaobezerra

06-06-2020

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

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