Question

Determine the domain of each of the following functions. Enter your answer using interval notation. (a) Domain of ( ln (16-8 x)= ) (b) Domain of ( log _{2}left(x^{2}-25 ight)= ) (c) Domain of ( log _{7}left(x^{2}+25 ight)= )

          Determine the domain of each of the following functions. Enter your answer using interval notation.
(a) Domain of ( ln (16-8 x)= )
(b) Domain of ( log _{2}left(x^{2}-25
ight)= )
(c) Domain of ( log _{7}left(x^{2}+25
ight)= )

Added by G F.

Essentials of Precalculus

Richard N. Aufmann, Richard D. Nation 1st Edition

Chapter 3

Instant Answer

Solved by Expert Vishal Parmar

03/20/2022

Step 1

So we have \( 16 - x > 0 \). Step 2: Solving for x, we get \( x < 16 \). Therefore, the domain of the function \( \log_{10}(16 - x) \) is \( (-\infty, 16) \). Step 1: For the function \( \log_{10}(x^2 - 25) \), the domain is determined by the condition that the Show more…

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