Thread: 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).

Originally Posted by bluejewballs

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))?