Question

unit: functions
progress:
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$f(x) = 3x^2 + 5$
$g(x) = 4x - 2$
$h(x) = x^2 - 3x + 1$
find $f(x) + g(x) - h(x)$.
$2x^2 + x + 2$
$5x^2 + 4$
$2x^2 + 7x + 2$
$7x^2 + x + 4$
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Explanation:

Step1: Substitute the functions

$f(x)+g(x)-h(x)=(3x²+5)+(4x-2)-(x²-3x+1)$

Step2: Remove parentheses

$3x²+5+4x-2-x²+3x-1$

Step3: Combine like terms

$(3x²-x²)+(4x+3x)+(5-2-1)=2x²+7x+2$

Answer:

2x² + 7x + 2