Matemática
luevladi
3

Dadas as funçoes  f(x)= 5x+10  e  g(x)= 4x-3  determine: a) f o g (x) b) g o f (x) c) f o f (x)

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(1) Respostas
larissardr2014

[latex]f(x)=5x+10[/latex] [latex]g(x)=4x-3[/latex] a) [latex]f~\text{o}~g(x)[/latex] [latex]f[g(x)]=f(4x-3)=5(4x-3)+10=20x-15+10=20x-5[/latex] b) [latex]g~\text{o}~f[/latex] [latex]g[f(x)]=g(5x+10)=4(5x+10)-3=20x+40-3=20x+37[/latex] c) [latex]f~\text{o}~f[/latex] [latex]f[f(x)]=f(5x+10)=5x(5x+10)+10=25x^2+50x+10[/latex]

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