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Given the parent logarithm function f(x)=log x, find the function g(x) after the parent function undergoes a vertical stretch by a factor of 3, and a horizontal shrink by a factor of 2.

Respuesta :

Remember that:

• A function undergoes a vertical stretch if we ,multiply it all ,by a factor ,greater than 1

,

• A function undergoes a horizontal shrink if we ,multiply x, and only x, ,by a factor ,greater than 1

Thus,

[tex]f(x)=\log (x)\rightarrow3\log (x)\rightarrow3\log (2x)[/tex]

Therefore,

[tex]g(x)=3\log (2x)[/tex]

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