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Operations on functions division

Is the sentence true or false?

If g(x)=0 then f(x)g(x)=0\frac{f\left(x\right)}{g\left(x\right)}=0.

Find 3/g(x), if  g(x)=3x2g(x)=3x^2 .

Is the sentence true or false?

(f/g)(x)=f(x)g(x)(f/g)(x)=\frac{f\left(x\right)}{g\left(x\right)}.

Find (v/w)(x), if v(x)=5x2+xv(x)=5x^2+x and w(x)=xw(x)=x .

Find (f/g)(x), if f(x)=5xf(x)=5x and g(x)=x2+1g(x)=x^2+1.

Find b/w(x), if w(x)=bw(x)=b.

Find v(x)/, if v(x)=ax2+axv(x)=ax^2+ax and w(x)=axw(x)=ax.

Find 5/w(x), if w(x)=5x210w(x)=5x^2-10 .

Find (v/w)(x), if v(x)=5x2+xv(x)=5x^2+x and w(x)=x2w(x)=x^2.

Is the sentence true or false?

If f(x)=0 then f(x)g(x)=0\frac{f\left(x\right)}{g\left(x\right)}=0.