logarithmic and exponential inverses and graphs

Find the inverse of  $f\left(x\right)=6^x$  .

•  $f^{-1}\left(x\right)=\log_x6$  

•  $f^{-1}\left(x\right)=\log_6x$  

•  $f^{-1}\left(x\right)=\log_{6x}^{ }$  

•  $f^{-1}\left(x\right)=\log\ \left(6+x\right)$  

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CCSS.HSF-BF.B.4A

A logarithmic function is the inverse of an exponential function.

• True

• False

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CCSS.HSF.BF.B.3

The inverse of an exponential function is its reflection across the x-axis.

• True

• False

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CCSS.HSF-BF.B.4A

Which equation is the inverse of the equation above?

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CCSS.HSF-BF.B.4A

Which equation is the inverse of the equation above?

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CCSS.HSF-BF.B.4A

Which equation is the inverse of the equation above?

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CCSS.HSF-BF.B.4A

Which equation is the inverse of the equation above?

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CCSS.HSF-BF.B.4A

Which equation is the inverse of the equation above?

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CCSS.HSF-BF.B.4A

Describe domain of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Tags

CCSS.HSF-IF.C.7E

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

• g(x)=log₃(x+6)+4

• g(x)=log₃(x+4)-6

• g(x)=log₃(x-6)+4

• g(x)=3log(x+6)+4

Tags

CCSS.HSF.BF.B.3