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Math, Still Need Help!

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Label each statement TRUE or FALSE.
a. The sum of two one-to-one functions is one-to-one.
b. The product of two one-to-one functions is one-to-one.
c. If f is a one-to-one function and k is a real number (constant), then the function g(x)=k*f(x)is one-to-one.

  • Math, Still Need Help! - ,

    a) - yes
    the sum of ax+b and cx+d is still linear

    b) - no
    the product of ax+b with cx+d produces a term in x^2. Quadratics are not one-to-one

    c) - yes
    multiplying a linear like ax+b by a constants keeps it linear.

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