For the functions f(x) and g(x), determine the domain of (f/g)(x) (the quotient of f and g).f(x) = 10x2, g(x) = 7x - 2
A.
B. {x ? x is a real number}
C.
D. {x ? x is a real number and x ? 0}
Answer: C
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Determine what the next equation would be, and verify that it is indeed a true statement.5 × 6 = 7 × 8 - (5 + 6 + 7 + 8)6 × 7 = 8 × 9 - (6 + 7 + 8 + 9)
A. 8 × 9 = 10 × 11 - (8 + 9 + 10 + 11) B. 7 × 8 = 9 × 10 - (5 + 6 + 7 + 8 + 9 + 10) C. 8 × 9 = 10 × 11 - (7 + 6 + 5 + 4) D. 7 × 8 = 9 × 10 - (7 + 8 + 9 + 10)
Use the graph of the function f(x) to locate the local extrema and identify the intervals where the function is concave up and concave down.
A. Local minimum at x = 1; local maximum at x =-1; concave down on (0, ?); concave up on (-?, 0) B. Local maximum at x = 1; local minimum at x =-1; concave up on (0, ?); concave down on (-?, 0) C. Local minimum at x = 1; local maximum at x =-1; concave up on (0, ?); concave down on (-?, 0) D. Local maximum at x = 1; local minimum at x =-1; concave up on (-?, ?)
Determine whether the graph of the equation or function has symmetry about the x-axis, the y-axis, and the origin.f(x) = x +
A. Origin B. y-axis, origin C. y-axis D. No symmetry
Reduce the rational expression to lowest terms.
What will be an ideal response?