larreshastokes91 larreshastokes91
  • 16-05-2019
  • Mathematics
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Which function represents g(x), a reflection of f(x) = (3)x across the y-axis?

g(x) = 2(3)x
g(x) = −(3)x
g(x) = (3)−x
g(x) = 2(3)−

Respuesta :

JeanaShupp
JeanaShupp JeanaShupp
  • 12-06-2019

Answer: [tex]g(x)=(3)^{-x}[/tex]

Step-by-step explanation:

We know that if a figure is reflected across y axis then its y coordinate remains same but the x coordinate changes its polarity.

i.e. the function [tex]f(x)[/tex] will become [tex]f(-x)[/tex] .

Now, the given function :[tex]f(x)=(3)^x[/tex]

Then , after reflection across y axis the new function will become:

[tex]g(x)=f(-x)=(3)^{-x}[/tex]

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