[tex]f(x) - g(x) = -5x^3-5x^2+5x +21[/tex]
Step-by-step explanation:
Given functions are:
[tex]f(x) = x^3-4x^2+9\\g(x) = 6x^3+x^2-5x-12[/tex]
We have to find the difference of functions
So,
[tex]f(x) - g(x) = x^3-4x^2+9 - (6x^3+x^2-5x-12)\\= x^3-4x^2+9-6x^3-x^2+5x+12[/tex]
Combining like terms
[tex]x^3-4x^2+9-6x^3-x^2+5x+12\\=x^3-6x^3-4x^2-x^2+5x+9+12\\= -5x^3-5x^2+5x +21[/tex]
Hence,
[tex]f(x) - g(x) = -5x^3-5x^2+5x +21[/tex]
Keywords: Functions, Operations
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