sliuca2006 sliuca2006

01-06-2020
Mathematics

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

Respuesta :

joaobezerra joaobezerra

08-06-2020

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

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