Express the given function as a composite of functions f and g such that y = f(g(x)).y = 

A. f(x) = , g(x) = x2 - 4
B. f(x) = , g(x) = x2 - 4
C. f(x) = , g(x) = x - 4
D. f(x) = , g(x) = - 


Answer: B

Mathematics

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Analyze the graph of the given function f as follows:(a) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.(b)  Find the x- and y-intercepts of the graph.(c)  Determine whether the graph crosses or touches the x-axis at each x-intercept.(d)  Graph f using a graphing utility.(e)  Use the graph to determine the local maxima and local minima, if any exist. Round turning points to two decimal places.(f) Use the information obtained in (a) - (e) to draw a complete graph of f by hand. Label all intercepts and turning points.(g)  Find the domain of f. Use the graph to find the range of f.(h)  Use the graph to determine where f is increasing and where f is decreasing.f(x) = (x + 3)(x - 2)2

What will be an ideal response?

Mathematics

Solve the system of equations by the elimination method. Check your solutions. For any dependent equations, write your answer in ordered pair form.

A.
B. {(1, 1)}
C. ?
D. {(-3, -9)}

Mathematics

Rationalize the denominator.

A.  
B.  
C.
D. -1

Mathematics

Solve the equation. 

A. x = 9 B. x = -6 C. x = 3 D. x = 6 E. x = 13

Mathematics