Question

Please! Solve f(x)-g(x) if f(x)=1/2x^4 - x^2 and g(x)= 3/4x^4 +3x^3 - x^2

Answer 1

Answer:

$f(x)-g(x)=\frac{-1}{4}x^{4}-3x^{3}$

Step-by-step explanation:

This is a subtraction between polynomials, since both functions are polynomials, hence, to solve the problem with need to perform the subtraction, by coefficients.

$f(x)= \frac{1}{2}x^{4}+0x^{3}-x^{2}\\\\g(x)=\frac{3}{4}x^{4}+3x^{3}-x^{2}$

By performing the subtraction, we have:

$f(x)-g(x)=\frac{-1}{4}x^{4}-3x^{3}$