Composition of functions worksheet



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Let f(x) = 2x + 1 and g(x) = 6x. Perform the composition of functions


1.     f ∘ g

2.     g ∘ f



Let f(x) = x2 + 1 and g(x) = x - 1. Perform the composition of functions



3.     f ∘ g

4.     g ∘ f



Let f(x) = x2 and g(x) = x



5.     Show that f ∘ g / g ∘ f = 1



Let f(x) = x3 and g(x) = x3 .Perform the composition of functions



6.     f ∘ g

7.     g ∘ f



Let f(x) = 4x - 3 and g(x) = x2 + 4. Find each value.



8.     f ∘ g (2)

9.     g ∘ f (-1)



Let f(x) = x2 + 2 and g(x) = 3x - 8. Perform the composition of functions



9.     f ∘ f

10.     g ∘ g



Let f(x) = x2 and g(x) = x - 1. For which value of x is



11. f ∘ g ≥ g ∘ f ?

12. f ∘ g ≤ g ∘ f ?

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