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Math Help - Lets do some true or false calc

  1. #1
    Junior Member
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    Lets do some true or false calc

    Just answer true or false: its that easy
    23. If a function is even, then it does not have an inverse.
    24. If a function is odd, then it does not have an inverse function.
    25. If a and b are positive constants, b 6= 1, then y = a+abx
    has a horizontal asymptote.
    26. If a and b are positive constants, then y = ln(ax+b) has
    no vertical asymptote.
    27. The function y = 20=(1 + 2e􀀀kt) with k > 0, has a
    horizontal asymptote at y = 20.
    28. If g(x) is an even function then f(g(x)) is even for every
    function f(x).
    29. If f(x) is an even function then f(g(x)) is even for every
    function g(x).
    30. If limh!0 f(h) = L, then f(0:0001) is closer to L than
    is f(0:01).
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  2. #2
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    Quote Originally Posted by bluejewballs View Post
    23. If a function is even, then it does not have an inverse.
    True. Because f(1) = f(-1) so it is not one-to-one.
    24. If a function is odd, then it does not have an inverse function.
    False, consider f(x) = x.
    28. If g(x) is an even function then f(g(x)) is even for every
    function f(x).
    f(g(x)) = f(g(-x))
    Is that true?

    29. If f(x) is an even function then f(g(x)) is even for every
    function g(x).
    Let f(x) = x^2 and g(x) = x+1.
    Then is,
    f(g(x)) = f(g(-x))?
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