Inverse of logs and exponentials

Which of the following is true.

• Inverse graphs reflect over the diagonal line y=x

• inverse graphs reflect over the x-axis

• inverse graphs reflect over the y-axis

Find the inverse of $f\left(x\right)=-3\log_8\left(-x-6\right)+12$  

•  $f^{-1}\left(x\right)=-\left(8\right)^{-\frac{1}{3}x+4}-6$  

•  $f^{-1}\left(x\right)=\left(6\right)^{-\frac{1}{3}x}+8$  

•  $f^{-1}\left(x\right)=\left(8\right)^{\frac{1}{3}x+4}+6$  

Find the inverse of :

• f(x)^-1 = 7^x-9

• f(x)^-1 = 7^x - 9

• f(x)^-1 = 7^x+9

• f(x)^-1 = 7^x +9

Find the inverse of the equation

• f^-1(x) = 2^(x-9)+5

• f^-1(x) = 2^(x+9)-5

• f^-1(x) = 5^(x-9)-5

Find the inverse of $f\left(x\right)=\left(2\right)^{x-6}+15$  

•  $f^{-1}\left(x\right)=\log_2\left(x-15\right)+6$  
  

•  $f^{-1}\left(x\right)=\log_2\left(x+15\right)-6$  
  

•  $f^{-1}\left(x\right)=\log_2\left(x-6\right)+15$  
  

Find the inverse of $f\left(x\right)=6\left(3\right)^x+24$  

•  $f^{-1}\left(x\right)=\log_3\left(\frac{1}{6}x-4\right)$  
  

•  $f^{-1}\left(x\right)=\log_3\left(6x+4\right)$  
  

•  $f^{-1}\left(x\right)=\log_3\left(4x-\frac{1}{6}\right)$  
  

What is the base we use if a logarithm function such as $f\left(x\right)=\log\ \left(3x\right)+9$  does not have a base "b"?

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