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The function f(x) = log2 x is transformed 3 units to the right and vertically compressed by a factor of 0.6 to become g(x).Which function represents the transformation g(x)?

The Function Fx Log2 X Is Transformed 3 Units To The Right And Vertically Compressed By A Factor Of 06 To Become GxWhich Function Represents The Transformation class=

Sagot :

[tex]f(x)=\log_2x[/tex]

Translation h units to the right and compressed by a factor A:

[tex]f(x)=A\log_2(x-h)[/tex]

Then, if g(x) is f(x) after the given transformations, it has the next equation:

[tex]\begin{gathered} g(x)=0.6\log_2(x-3) \\ \\ g(x)=\frac{3}{5}\log_2(x-3) \end{gathered}[/tex]Answer: last option
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