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Seja f:R-R uma função tal que f(x+1) = 3 * f(x) + 3 e f(0) = 12. O valor do f(2) é?


Resposta :

[tex]\boxed{\begin{array}{l}\sf f(x+1)=3\cdot f(x)+3\\\sf f(0+1)=3f(0)+3\\\sf f(1)=3\cdot 12+3\\\sf f(1)=36+3\\\sf f(1)=39\\\sf f(1+1)=3\cdot f(1)+3\\\sf f(2)=3\cdot39+3\\\sf f(2)=117+3\\\sf f(2)=120\blue{\checkmark}\end{array}}[/tex]