The required function for (f ⁄g)(x) is -x²+x-1
Given the following functions:
[tex]f(x)=x^4-x^3+x^2\\g(x)=-x^2[/tex]
Required function:
[tex]\frac{f}{g}(x) = \frac{x^4-x^3+x^2}{-x^2}\\[/tex]
Factor out x² from the numerator to have:
[tex]\frac{f}{g}(x)=\frac{x^2(x^2-x+1)}{-x^2} \\\frac{f}{g}(x)=-(x^2-x+1)\\\frac{f}{g}(x)=-x^2+x-1\\\\[/tex]
Hence the required function for (f ⁄g)(x) is -x²+x-1
Learn more here: https://brainly.com/question/11542650
