Question

Dada la función lineal F(x) = ax + b; se sabe que F(-1) = 13 y F(1) = 7; calcula F(3). a) 2 c) -1 e) 3 b) 1 d) -3 ​

Answer 1

f(x) = ax+b

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piden :

f(3) = 3a+b

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f(-1) = (-1)a + b = 13

F(-1) = -a + b = 13

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-a + b = 13

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f(1) = a+b = 7

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-a + b = 13

a+b = 7

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2b = 20

b = 10

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a+10 = 7

a = -3

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piden :

f(3) = 3a+b

f(3) = 3(-3)+10

f(3) = 1

Respuesta = 1

:)