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Shalnov [3]
3 years ago
15

Given: F(x)=2x-1; g(x)=3x+2; h(x)=x^2 find h(x+a)-h(x)

Mathematics
2 answers:
umka21 [38]3 years ago
5 0
h(x)=x^2\\\\h(x+a)=(x+a)^2=x^2+2ax+a^2\\\\h(x+a)-h(x)=(x^2+2ax+a^2)-(x^2)=2ax+a^2
shusha [124]3 years ago
4 0

yes a^2+2ax is correct


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PLEASE HELP ME IT WOULD MEAN A LOT
arlik [135]

Answer:

12x³ - 3x

Step-by-step explanation:

<em>Given </em>

<em>f(</em><em>x</em><em>)</em><em> </em><em>=</em><em> </em><em>x </em><em>and </em><em>g(</em><em>x</em><em>)</em><em> </em><em>=</em><em> </em><em>4x²</em><em> </em><em>-</em><em> </em><em>1</em>

<em>Now</em><em>, </em>

<em>3</em><em> </em><em>f(</em><em>x</em><em>)</em><em> </em><em>*</em><em> </em><em>g(</em><em>x</em><em>)</em><em> </em>

<em>=</em><em> </em><em>3</em><em> </em><em>*</em><em> </em><em>x </em><em>(</em><em>4x²</em><em> </em><em>-</em><em> </em><em>1</em><em>)</em>

<em>=</em><em> </em><em>3x </em><em>(</em><em> </em><em>4x²</em><em> </em><em>-</em><em> </em><em>1</em><em> </em><em>)</em>

<em>=</em><em> </em><em>12x³</em><em> </em><em>-</em><em> </em><em>3x </em>

<em>Hope </em><em>it </em><em>will </em><em>help </em><em>:</em><em>)</em>

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