Question

If f(x) = x + 2, g(x) = x2 - x -2, then find
g(1)+g(2)+g(3)
f(-4)+ f(-2) + f(2)
​

Answer 1

$Given \: f(x) = x + 2 \: --(1) \\ and \: g(x) = x - 2 \: ---(2)$

$\red{i) Value \: of \: g(1)+g(2)+g(3) } \\= ( 1-2 )+ ( 2 - 2 ) + ( 3 - 2 ) \\= -1 + 0 + 1 \\= 0$

$\red{ ii) f(-4) + f(-2) + f(2) } \\= ( -4 + 2) + (-2 + 2 ) + ( 2 + 2 )\\= -2 + 0 + 4 \\= 2$

Therefore.,

$\red{i) Value \: of \: g(1)+g(2)+g(3) }\green { = 0 }$

$\red{ ii) f(-4) + f(-2) + f(2) }\green { = 2 }$

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