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G(x)= -4x
h(x)= 2x^3 + 5x^2 + 2x Find(2g+4h)(x)

User Dotsquares
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1 Answer

7 votes

Answer:


\large\boxed{(2g+4h)(x)=8x^3+20x^2}

Explanation:


g(x)=-4x\\\\h(x)=2x^3+5x^2+2x\\\\(2g+4h)(x)=2g(x)+4h(x)\\\\2g(x)=(2)(-4x)=-8x\\\\4h(x)=(4)(2x^3+5x^2+2x)\qquad\text{use the distributive property}\\\\4h(x)=(4)(2x^3)+(4)(5x^2)+(4)(2x)=8x^3+20x^2+8x\\\\(2g+4h)(x)=-8x+8x^3+20x^2+8x\qquad\text{cancel}\ 8x\\\\(2g+4h)(x)=8x^3+20x^2

User Nucleic Electron
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