Algebraic Operations on Functions

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6 Questions

What is the inverse function of the exponential function?

$g^{-1}(0)$

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

$\log_g(\frac{1}{x}) = -\log_g(x)$

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

$\mathbb{R} - {6 \in \mathbb{R} | \sqrt{6} = e}$

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

7

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

$\log_a(b^c) = c\log_a(b)$

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

8

Explore the combination of functions using addition, subtraction, multiplication, and division to obtain new functions. Understand how to compute the results of these operations when given specific functions and inputs.

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