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If you horizontally compress exponential function f(x)=2^x by a factor by a of 5, which of these is the equation of the new function?

If you horizontally compress exponential function fx2x by a factor by a of 5 which of these is the equation of the new function class=

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nmdillon
the anwser is -2x my dude 

JeanaShupp

Answer: A. [tex]f(5x)=2^{5x}[/tex]

Step-by-step explanation:

When we compress a function [tex]y= f(x)[/tex] by a scale factor of 'k', where k >1, then the function after compression will become :

[tex]y= f(kx)[/tex], where k>1

Given: Exponential function: [tex]f(x)=2^x[/tex]

The scale factor of the compression (k): 5

Then after horizontally compression , the exponential function will become :

[tex]f(5x)=2^{(5x)}[/tex]

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