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(Solved): Let f: (1, infinity) -> reals be defined by f(x) = ln(x). Determine whether f is injective/surjec ...



Let f: (1, infinity) -> reals be defined by f(x) = ln(x). Determine whether f is injective/surjective/bijective.

Find a bijection from the integers to the even integers.

If f: Z -> 2Z is defined by f(x) = 2x, find the inverse of f.

Let g: R -> R be defined by g(x) = 2x+5 . Prove g bijective and find the inverse of g.

Let f: R -> R with f(x) = x^2, g: R -> R with g(x) = 2x+1, h: [0, infinity) -> reals with h(x) = sqrt(x). Find the compositions of:

f and g,

g and f,

f and h,

h and f.



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