Function Composition and Evaluation in Mathematics
Discover how to compose and evaluate functions with examples involving f(x), g(x), and h(x). Learn to find f(g(x)) and (g∘f), and graph and evaluate functions in this interactive math lesson. Explore the relationships between different functions and their compositions.
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Presentation Transcript
WARM UP f(x) = x2 3x + 7 g(x) = 3x 5 h(x) = 3x2 x f(g(0)) g(f(-3)) h(f(2)) g(h(f(-2)))
Evaluate Composition of Functions
Find f(g(x)) and (gof) f(x) = 5x + 8 g(x) = x2 5
f(x) = x2 3x + 2 g(x) = x2 2x g + f (g f)(x) gf g/f
Graph and Evaluate g(0) g(-5) g(4) g(8) { 5 ? + 2 ? 4 ? < 4 g(x)
