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Grade 11 math · F.1 · Functions

Compose two functions

Work out the inside function first, then put that into the outside.

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  1. f(x) = −x + 1 and g(x) = 2x − 1. Find f(g(−1)).

    Answer: 4

  2. f(x) = 2x − 2 and g(x) = x − 4. Find f(g(−1)).

    Answer: -12

  3. f(x) = 2x − 3 and g(x) = x − 6. Find f(g(2)).

    Answer: -11

Tip: Work out the inside function first, then put that into the outside.

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