Chapter 9.4, Problem 9QR

3. Consider the function +R where f(x)= log,(2-52). (a) Find the rule for f- (b) State the range of f-

See image below.

Parts a and c please. Thank you!

Differentiate the function. G'(q) = = G(q) = (6 + q−¹)²

Does the function f(x) = 2e¯X represent exponential growth, decay, or neither? A) Exponential growth B) Exponential decay C) Neither D) Impossible to determine with the information given.

19) Consider the function y = 5 log (x + 12) – 8. Complete the sentence about the graph of the function. The function has a domain of A) (-12, о) В (-8, оо) с) (8, оо) D (12, o0) E (-00, ∞0) and a range of A (-12, 0) B (-8, 0) c) (8, 0) D (12, 0) E (-0, 0)

The graphs of f and g are shown. Let h(x) = f(g(x)) and s(x) = g(f(x)). y 15 10 5 -2 4 6. 10 (a) Write an equation for h'(x) in terms of f(x), g(x), f'(x), and g'(x). O h'(x) = g'(f'(x))f'(x) O h'(x) = g'(f(x))f'(x) h'(x) = f'(g'(x))g'(x) h'(x) = f'(g(x))gʻ(x) O h'(x) = f'(g'(x))g(x) O h'(x) = g'(f'(x))f(x) Find h'(3). (If an answer does not exist, enter DNE.) (b) Write an equation for s'(x) in terms of f(x), g(x), f'(x), and g'(x). O s'(x) = f'(g(x))g'(x) O s'(x) = g'(f'(x))F'(x) O s'(x) = f'(g'(x))g'(x) s'(x) = g'(f(x))f'(x) s'(x) = f'(g'(x))g(x) s'(x) = g'(f'(x)){x) Find s'(7). (If an answer does not exist, enter DNE.)