Find the indicated composite for the pair of functions.Given f(x) = 6x + 14 and g(x) = 5x - 1, find (f ? g)(x).

A. 30x + 69
B. 30x + 13
C. 30x + 20
D. 30x + 8


Answer: D

Mathematics

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Provide an appropriate response.Use the 1960s peak annual growth rate of 4.1% and population of 2 million to predict the current growth rate with a logistic model. Assume a current country population of 8 million. Assume the carrying capacity is 24 million.

A. 2.98% B. 4.47% C. 4.10% D. 7.45%

Mathematics

Evaluate the integral.dx

A.  sin-1 x - sin-1 x + x + C
B.  sin-1 x - x sin-1 x -  + C
C.  sin-1 x - cos-1 x +  + C
D.  sin-1 x + sin-1 x - x + C

Mathematics

Solve the following circle graph problems.If rent is represented by 54° on a circle graph showing all expenses, and the cost of rent is $765, how much are the total expenses?

A. $6,120 B. $6,375 C. $4,590 D. $5,100

Mathematics

Sketch the graph of f(x). Determine the domain, range, and the equation of the horizontal asymptote of the function.f(x) = e-x + 2

A. Domain: (-?, ?), range: (2, ?)
Horizontal asymptote: y = 2

B. Domain: (0, ?), range: (-?, ?)
Horizontal asymptote: y = 0

C. Domain: (-?, ?), range: (2, ?)
Horizontal asymptote: y = 2

D. Domain: (-?, ?), range: (-?, 2)
Horizontal asymptote: y = 2

Mathematics