QuestionJuly 16, 2025

f(x)=8x^2-2x+3 g(x)=12x^2+4x-3 What is h(x)=f(x)-g(x) 2 h(x)=20x^2+2x h(x)=-4x^2-6x h(x)=-4x^2-6x+6 h(x)=-4x^2+2x

f(x)=8x^2-2x+3 g(x)=12x^2+4x-3 What is h(x)=f(x)-g(x) 2 h(x)=20x^2+2x h(x)=-4x^2-6x h(x)=-4x^2-6x+6 h(x)=-4x^2+2x
f(x)=8x^2-2x+3
g(x)=12x^2+4x-3
What is h(x)=f(x)-g(x) 2
h(x)=20x^2+2x
h(x)=-4x^2-6x
h(x)=-4x^2-6x+6
h(x)=-4x^2+2x

Solution
4.4(227 votes)

Answer

h(x) = -4x^2 - 6x + 6 Explanation 1. Subtract the functions Calculate h(x) = f(x) - g(x) by subtracting each corresponding term of f(x) and g(x). h(x) = (8x^2 - 2x + 3) - (12x^2 + 4x - 3) 2. Simplify the expression Combine like terms: h(x) = (8x^2 - 12x^2) + (-2x - 4x) + (3 + 3) h(x) = -4x^2 - 6x + 6

Explanation

1. Subtract the functions<br /> Calculate $h(x) = f(x) - g(x)$ by subtracting each corresponding term of $f(x)$ and $g(x)$.<br /> $h(x) = (8x^2 - 2x + 3) - (12x^2 + 4x - 3)$<br /><br />2. Simplify the expression<br /> Combine like terms: <br /> $h(x) = (8x^2 - 12x^2) + (-2x - 4x) + (3 + 3)$<br /> $h(x) = -4x^2 - 6x + 6$
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