f(x) = x2 −2x + 1; g(x) = x −1. f(x) = log2 x; g(x) = 2x. f(x) = ⌊ x ⌋; g (x) = ⌈ x ⌉, f(x) = x/(x+1); g(x) = 1/x.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.3: Logarithmic Functions
Problem 5E: The natural logarithmic function f(x)=Inx has the ____________ asymptote x =____.
Question

 

For each of the following find f ∘ g, and g ∘ f, and simplify.

 

  1. f(x) = x2 −2x + 1; g(x) = x −1.
  2. f(x) = log2 x; g(x) = 2x.
  3. f(x) = ⌊ x ⌋; g (x) = ⌈ x ⌉,
  4. f(x) = x/(x+1); g(x) = 1/x.
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