Provide an appropriate response.Explain how exponential and logarithmic functions are related.
What will be an ideal response?
Answers may vary. One possibility: Exponential and logarithmic functions are inverses of each other. The domain of the exponential function is the range of the logarithmic function and the range of the exponential function is the domain of the logarithmic function. Their graphs are mirror images about the line
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Find the equation of the hyperbola satisfying the given conditions.Vertices at (0, 6) and (0, -6); asymptotes y = x and y = -
x
A. -
= 1
B. -
= 1
C. -
= 1
D. -
= 1
Evaluate.
A. 252 B. 216 C. -288 D. -252
Show that f and g are inverses of each other by verifying that f(g(x)) = x = g(f(x)).f(x) = 2x; g(x) =
What will be an ideal response?
Solve the problem.Two sailboats leave a harbor in the Bahamas at the same time. The first sails at 20 mph in a direction 340°. The second sails at 32 mph in a direction 200°. Assuming that both boats maintain speed and heading, after 5 hours, how far apart are the boats?
A. 245.2 mi B. 177.9 mi C. 161.1 mi D. 193.4 mi