MHB What is the result of three compositions of the function f at -1?

spartas · 2015-10-03T13:34:54+00:00

IF f(X)={x2, X>3 ; 3X+4, 0<X<3 ; X3+2 , X<0 } find (f°f°f)(-1) p.s the answer is 49! i don't know how this f(x) includes three terms x2 , 3x+4 and x3+2 And which term i need to use for the (f°f°f)(-1)

Thread starter spartas
Start date Oct 3, 2015
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Composition Functions

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To find (f°f°f)(-1) for the piecewise function f(x), the relevant term for x < 0 is f(x) = x^3 + 2. Evaluating f(-1) gives 1, then f(1) uses the term for 0 < x < 3, resulting in f(1) = 3(1) + 4 = 7. Finally, applying f to 7, which falls under the x > 3 condition, yields f(7) = 7^2 = 49. Thus, the result of three compositions of the function at -1 is 49.

Oct 3, 2015

spartas

IF f(X)={x², X>3 ; 3X+4, 0<X<3 ; X³+2 , X<0 }

find (f°f°f)(-1)

p.s the answer is 49! i don't know how this f(x) includes three terms x² , 3x+4 and x³+2 And which term i need to use for the (f°f°f)(-1)

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Oct 3, 2015

Greg

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MHB

f(-1) = 1, f(1) = 7, f(7) = 49

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