Functions (general)

What is the inverse of the function
y = ln(x)?

• y = e^x
• x = e^y
• y = e(x)
• y = ^e∕_x

g(x) = log₄(x-6) + 5. Which of the following statements is false about g^-1(x)?

• The domain of g^-1(x) is (-∞, +∞).

• The range of g^-1(x) is (6, +∞).

• g^-1(x) has an asymptote at y = 5.

• All the statements are true.

Find the inverse of the function f(x) = x^2 + 5

• x^2 - 5

• √(x^2+5)

• √(x - 5)

• √(x + 5)

If you are given a function and want to find it's inverse, what is the first step you should do?

• Start solving for x.

• Start solving for y.

• Swap x and y in the equation.

• Write down inverse operations and hope it's correct.

Find the inverse of f(x)=log₄(x+4)

• f^-1(x)=4^(x-4)

• f^-1(x)=4^x+4

• f^-1(x)=4^x-4

• f^-1(x)=4^x

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

•  $f^{-1}\left(x\right)=\log_x6$  

•  $f^{-1}\left(x\right)=\log_6x$  

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

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

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)

Find the inverse function

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What is the inverse of the function f(x) = 2x-5

• f⁻¹(x) = ½x+5
• f⁻¹(x) = ½x+⁵/₂
• f⁻¹(x) = x+⁵/₂
• f⁻¹(x) = ½x-⁵/₂