Function composition
Evaluate and build formulas for composite functions (f of g)(x), including a real-world discount-then-tax context. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
Given f(x) and g(x) below, find the formula for (f o g)(x).
f(x) = −3x - 2
g(x) = 3x + 4
- −9x - 2
- −9x - 14
- −9x - 10
- 2
Answer: -9x - 14
See one solved, step by step
Given f(x) and g(x) below, evaluate (f o g)(3).
f(x) = −2x - 1
g(x) = x2 + 2
📘 Worked solution
1g(3) = 1(3)2 + 2 = 11Evaluate the inner function g first.
2f(11) = −2(11) - 1 = −23Substitute that result into f as its input.
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