Answer:
Step-by-step explanation:
f ( x ) = 3 x ^ { 3 } - 5 x ^ { 2 } + x - 2 g ( x ) = x + 2
Subtract 3x³ from each sides.
-5x^{2}+x-2gx=x+2-3x^{3}
Add 5x² to both sides.
x-2gx=x+2-3x^{3}+5x^{2}
Subtract x from both sides.
-2gx=x+2-3x^{3}+5x^{2}-x
Combine x and -x to get 0.
-2gx=2-3x^{3}+5x^{2}
The equation is in standard form.
\left(-2x\right)g=2+5x^{2}-3x^{3}
Divide both sides by -2x.
\frac{\left(-2x\right)g}{-2x}=\frac{2+5x^{2}-3x^{3}}{-2x}
Dividing bu -2x undoes the multiplication by -2x.
g=\frac{2+5x^{2}-3x^{3}}{-2x}
Divide 2-3x³ +5x² by -2x.
g=\frac{3x^{2}}{2}-\frac{5x}{2}-\frac{1}{x}
