erinlincoln608 erinlincoln608
  • 13-07-2021
  • Mathematics
contestada

The function f(x)=log4x is dilated to become g(x)=f(13x).
What is the effect on f(x)?

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 22-07-2021

Answer:

f(x) is compressed horizontally

Step-by-step explanation:

Given

[tex]f(x) = \log(4x)[/tex]

[tex]g(x) = f(13x)[/tex]

Required

The effect on f(x)

[tex]g(x) = f(13x)[/tex] implies that f(x) is horizontally compressed by 13.

So, we have:

[tex]f(13) = \log(4 * 13x)[/tex]

[tex]f(13) = \log(52x)[/tex]

So:

[tex]g(13) = \log(52x)[/tex]

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