Question 200820
1)

*[Tex \LARGE g(-x)=3(-x)-(-x)^2=-3x-x^2=-x^2-3x]


answer: *[Tex \LARGE g(-x)=-x^2-3x]



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2)

*[Tex \LARGE g(\frac{1}{3}t)=3(\frac{1}{3}t)-(\frac{1}{3}t)^2=t-\frac{t^2}{9}=-\frac{1}{9}t^2+t]


answer: *[Tex \LARGE g(\frac{1}{3}t)=-\frac{1}{9}t^2+t]



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3) 

*[Tex \LARGE g(x^2-3x)=3(x^2-3x)-(x^2-3x)^2=3x^2-9x-(x^4-6x^3+9x^2)=-x^4+6x^3-6x^2-9x]



Answer: *[Tex \LARGE g(x^2-3x)=-x^4+6x^3-6x^2-9x]



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4) 


*[Tex \LARGE g(-3k)=3(-3k)-(-3k)^2=-9k-9k^2=-9k^2-9k]


Answer: *[Tex \LARGE g(-3k)=-9k^2-9k]


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5) 


*[Tex \LARGE g(x-1)=3(x-1)-(x-1)^2=3x-3-(x^2-2x+1)=-x^2+5x-4]


Answer: *[Tex \LARGE g(x-1)=-x^2+5x-4]