The function f: R R defined by f(x) = 7x is onto because for any real...
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The function f: R→ R defined by f(x) = 7x is onto because for any real number r, we have that r/7 is a real number and f(r/7) = r. Consider the same function defined on the integers g: Z- Z by g(n) = 7n. Explain why g is not onto Z and give one integer that g cannot output. The function f: R→ R defined by f(x) = 7x is onto because for any real number r, we have that r/7 is a real number and f(r/7) = r. Consider the same function defined on the integers g: Z- Z by g(n) = 7n. Explain why g is not onto Z and give one integer that g cannot output.
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Posted Date:
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