Find the requested composition of functions.Given f(x) = 5x + 9 and g(x) = 4x - 1, find (f ? g)(x).
A. 20x + 14
B. 20x + 8
C. 20x + 35
D. 20x + 4
Answer: D
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Use properties of exponents to simplify the expression. First, express the answer in exponential form. Then, evaluate the expression.5 ? 52
A. 5; 5 B. 15; 15 C. 52; 25 D. 53; 125
Simplify, where possible.4x + 10x
A. 40x B. 14x2 C. 14x D. 28x
Write the phrase as a mathematical expression. Use x as the variable.Some number minus 51
A. 51 B. 51x C. x + 51 D. x - 51
Provide an appropriate response.Suppose that you want to invest some money in order to have $100 available at some later time. If you invest it at 7% interest compounded continuously, the amount you need to invest now, P, is related to the number of years from now that you need the money, t, by: P(t) = 100e-0.07t. Graph this on your graphing calculator in the window ×
Discuss the behavior of this graph.
What will be an ideal response?