Question

Dada a função f :ℜ → ℜ definida por f(x) = ax + b, com a, b ∈ ℜ, calcular a e b, sabendo que: a) f(1) = 2 e f(2) = 3. b) f(–1) = 2 e f(–2) = –3. c) f(–2) = 1 e f(–1) = 2. d) f(0) = 3 e f(3) = 6. e) f(3) = 0 e f(6) = 3. f) f(1) = 1 e f(0) = 2.

Answer 1

Resposta:

a) $f(x)=ax+b$

$\left \{ {{a+b=2} \atop {2a+b=3}} \right.=\left \{ {{a=2-b} \atop {2a+b=3}} \right. =\left \{ {{a=2-b} \atop {2(2-b)+b=3}} \right. =\left \{ {{a=2-b} \atop {4-2b+b=3}} \right.=\left \{ {{a=2-b} \atop {-b=2-4}} \right. =\left \{ {{a=2-b} \atop {b=1}} \right. =\left \{ {{a=2-1} \atop {b=1}} \right. =\left \{ {{a=1} \atop {b=1}} \right.$

Explicação passo-a-passo: