Solve the problem.The function f(x) = |x|- 5 is not one-to-one.(a) Find a suitable restriction on the domain of f so that the new function that results is one-to-one.(b) Find the inverse of f.

What will be an ideal response?


(a) x ? 0 is one correct answer; another equally correct answer is x ? 0.

Mathematics

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Perform the operation and give the answer in Hindu-Arabic form.

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A. 52
B. 602
C. 62
D. 502

Mathematics

Solve the problem.T and T' are similar triangles. Suppose that the base of T' is 5 times longer than the base of T. If the area of T' is 100 sq. in., what is the area of T?

A. 20 sq. in. B. 500 sq. in. C. 4 sq. in. D. 5 sq. in. E. none of these

Mathematics

Given y = f(u) and u = g(x), find dy/dx = f'(g(x))g'(x).y = u(u - 1), u = x2 + x

A. 4x3 + 6x2 - 1 B. 2x2 + 4x C. 2x2 + 4x + 1 D. 4x3 + 6x2 - 2x

Mathematics

Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.1 -  , 1 + i

A. f(x) = x4 + 3x3 + 4x2 - 1 B. f(x) = x4 - 4x3 + 4x2 - 4 C. f(x) = x4 + 6x3 + 4x2 - 4 D. f(x) = x4 - 6x3 + 8x2 - 4

Mathematics