Function composition and inverses

Compute f(g(x)), find an inverse algebraically, and verify with composition.

Standards:F-BF.A.1.cF-BF.B.4

Try it: three questions

Real questions from the practice bank. Tap an answer to check it.

Question 1 of 3

Let f(x) = 2x − 5 and g(x) = (x + 5)/2. Find (f ∘ g)(3).

Question 2 of 3

Let f(x) = 3x − 7 and g(x) = (x + 7)/3. Find (f ∘ g)(5).

Question 3 of 3

Let f(x) = 2x − 5 and g(x) = (x + 5)/2. Find g(f(3)).

How this fits in

Function composition and inverses is one skill in the Advanced Algebra unit. Students read the unit lesson, then earn a bronze, silver, or gold medal on their last 10 answers. Medals never go down. A mastered unit comes back for review after 1, 3, 7, 16, and 35 days so it stays learned.

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