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 ?