Sb Day 60 Composition Of Functions Ppt

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Topics in Precalc Mrs. Talleur Aim: How can we evaluate the composition of functions?

Chi Ching!!!!!!!!!!!!!!! evaluate: 1) if f(x) = 3x + 2 find f(3), f(-2), f(1/3) 2) If f(x) = 2x 2 - 2x + 5 find f(-3), f(5)

if f(x) = x + 5 and g(x) = 4x find f(g(2)) g(x) f(x) 4x x+5 4(2) 8+5 2 f(g(2)) or (f ◦ g)(2) is read as "f" follows "g" of 2 13 8

g(x) f(x) x-2 3x 4-2 3(2) 2 4 6 If f(x) = 3x and g(x) = x-2 find (f ◦ g)(4)

f(x) g(x) x 2 2x-3 If f(x) = x 2 and g(x) = 2x-3 find g(f(2)) 2 2 2(4)-3 2 5 4

c(x) d(x) x-3 2x+3 2-3 2(-1)+3 2 1 -1 let d(x) = 2x+3 and c(x) = x-3 find (d ◦ c)(2)

c(x) d(x) x-3 2x+3 2(2)+3 7-3 4 7 let d(x) = 2x+3 and c(x) = x-3 find (c ◦ d)(2) 2

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