Section 4.5 Inverses

Logarithms are the inverse of ___________.

• Trees
• Quadratics
• Square
• Exponential

Tags

CCSS.HSF.BF.B.5

Find the inverse of y=9^x

• y=log_x9

• y=log₁₀9

• x=log_y9

• y=log₉x

Tags

CCSS.HSF-BF.B.4A

When you want to find the inverse of a function, you first

• Solve for y

• Change to exponential form

• Switch x and y

• Change to logarithmic form

Tags

CCSS.HSF-BF.B.4A

Find the Inverse of  $y\ =\ \log_4\left(x-1\right)$ 

•  $y=x$  

•  $y=\log_34^x$  

•  $y=4^x+1$  

•  $y=4^{x+1}$  

Tags

CCSS.HSF-BF.B.4A

 $Find\ the\ inverse\ of\ :\ y=\log_9x+4$  
HINT: isolate the logarithm first.

•  $y=9^x+4$  

•  $y=9^x-4$  

•  $y=9^{\left(x-4\right)}$  

•  $y=9^{\left(x+4\right)}$  

Tags

CCSS.HSF-BF.B.4A

What is the inverse of the function
f(x) = 2x + 4   ?

• f^-1(x) = 4(x -2)
• f^-1(x) = (x-4)/2
• f^-1(x) = x/2 - 4
• f^-1(x) = x/4 + 2

Tags

CCSS.HSF-BF.B.4A

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)
• (-4, -1) and (-6, -4)
• (-1, -4) and (-4, -6)
• (4, 1) and (6, 4)

Tags

CCSS.HSF-BF.B.4C

Find the inverse of  $f\left(x\right)=x^2-4$  

•  $f^{-1}\left(x\right)=\sqrt{x+16}$  

•  $f^{-1}\left(x\right)=\sqrt{x-4}$  

•  $f^{-1}\left(x\right)=\sqrt{x}+4$  

•  $f^{-1}\left(x\right)=\sqrt{x+4}$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse of  $f\left(x\right)=\sqrt{x}+8$  

•  $f^{-1}\left(x\right)=x^2+8$  

•  $f^{-1}\left(x\right)=x^2-8$  

•  $f^{-1}\left(x\right)=\left(x+8\right)^2$  

•  $f^{-1}\left(x\right)=\left(x-8\right)^2$  

Tags

CCSS.HSF-BF.B.4A

What is the relationship between
f(x) = log₅(x)
and
g(x) = 5^x?

• No Relationship
• Inverses
• Same Function

Tags

CCSS.HSF.BF.B.5