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3 years ago

If f(7)=22, then f^-1(f(7))=? Please help!!

Mathematics

1 answer:

alexira [117]3 years ago

7 0

Answer:

Step-by-step explanation:

In general, the point of an inverse function is to show you the value that gives a particular function value. That is, ...

$f^{-1}(22)=7\\\\f^{-1}(f(x))=x\\\\f^{-1}(f(7))=7$

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Answer:

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Step-by-step explanation:

<u>Properties of Logarithms</u>

We'll recall below the basic properties of logarithms:

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Logarithm of the base:

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Product rule:

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Division rule:

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Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

$\displaystyle log_\frac{1}{2}(64)$

Factoring $64=2^6$ .

$\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)$

Since

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$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})$

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Applying the logarithm of the base:

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