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Algebra II Recipe: Operations with Functions
A. Operations with Functions
Given f(x) = 3x  and  g(x) = -x - 5
  1. Addition:         f(x) + g(x) = 3x + (x - 5) = 4x - 5
  2. Subtraction:    f(x) - g(x) = 3x - (x - 5) = 2x + 5
  3. Multiplication:  f(x) • f(g) = 3x(x - 5) = 3x2 - 15x
  4. Quotient:        f(x) ÷ g(x) = (3x)/(x - 5), x ≠ 5
B. Evaluating Composite Functions
  1. Given two functions f(x) and g(x), a composite function is written g[f(x)] and is read "g of f of x"
  2. The "f" and "g" are simply to name the function.
Given f(x) = -3x  and g(x) = x + 2
ExamplesExamples:
Evaluate g[f(1)]
Evaluate f[g(-7)]
Evaluate g[f(0)]



G Redden

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