Solve the problem. Assume all variables represent nonnegative real numbers.For f(x) = x -
and g(x) = x -
, find (f ? g)(x).
A. (f ? g)(x) = x2 + 2
B. (f ? g)(x) = x2 - 2
C. (f ? g)(x) = x2 + 2x + 2
D. (f ? g)(x) = x2 - 2x + 2
Answer: D
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Suppose that the functions f and g and their derivatives with respect to x have the following values at the given values of x. Find the derivative with respect to x of the given combination at the given value of x.f(g(x)), x = 4
A. 8 B. -32 C. 24 D. -20
Determine which numbers in the set are solutions to the equation.5r + 8 = 28; {2, 4, 15}
A. 4 B. 2 C. 15 D. none of them
Solve.A cyclist biked uphill 3 mi at a speed r mph and then returned (downhill) at three times the speed. How long did the whole trip take? Write the answer as a single rational expression.
A. hr
B. hr
C. hr
D. hr
Approximate the point of intersection of the graphs of f and g. Then solve the equation algebraically to verify your approximation.
a. (9, - 2)
b. (9, 2)
c. ( -9, 2 )
d. (9, _3)