Inverse of Exponential and Logarithmic Functions

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

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CCSS.HSF-BF.B.4A

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CCSS.HSF-IF.C.7E

Where is the asymptote?

• x = 1

• y = 1

• x = -1

• y = -1

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CCSS.HSF-IF.C.7E

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CCSS.HSF-BF.B.4A

A logarithmic function is the inverse of an exponential function. (a)  

• True

• False

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CCSS.HSF.BF.B.3

Find the inverse of the function f(x)=log₃(x)+5

• f^-1(x)=3^x-5

• f^-1(x)=3^(x+5)

• f^-1(x)=3^(x-5)

• f^-1(x)=3^x+5

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CCSS.HSF-BF.B.4A

Find the inverse function:
f(x) = 5^x

• f ^-1(x) = log₅(x)

• f ^-1(x) = log_x(5)

• f ^-1(x) = 5^x

• f ^-1(x) = x⁵

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CCSS.HSF-BF.B.4A

Maya and Jackson are having a debate. Maya says a logarithmic function is the inverse of an exponential function, while Jackson disagrees. Who is correct?

• Maya

• Jackson

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CCSS.HSF.BF.B.5

What is the inverse of f(x)=5^x+3?

• f^-1(x)=log₃(x-5)

• f^-1(x)=log₅(x)-3

• f^-1(x)=log₅(x-3)

• f^-1(x)=log₅(x+3)

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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