Algebraic Operations on Functions

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Questions and Answers

What is the inverse function of the exponential function?

  • $g^{-1}(0)$ (correct)
  • $g(1)$
  • $g(0)$
  • $\frac{1}{g(0)}$

Which of the following properties is true for the logarithm function base $g$?

  • $\log_g(\frac{1}{x}) = -\log_g(x)$ (correct)
  • $\log_g(xy) = \log_g(x) + \log_g(y)$
  • $\log_g(x^2) = 2\log_g(x)$
  • $\log_g(1) = 1$

What is the domain of the function $E(6) = 5(6) - \sqrt{6}$?

  • $\mathbb{R} - \{6 \in \mathbb{R} | \sqrt{6} = e\}$ (correct)
  • $\mathbb{R}$
  • $[-7, 7]$
  • $[-7, 7] - (−7, 7)$

What is the value of $\log_g(81) + \log_g(27)$?

<p>7 (A)</p> Signup and view all the answers

Which property can be used to find $\log_8(32)$?

<p>$\log_a(b^c) = c\log_a(b)$ (C)</p> Signup and view all the answers

What is the value of .(3) + 2?

<p>8 (B)</p> Signup and view all the answers

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