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olga55 [171]
3 years ago
12

F(x)= x^3-4x^2+9 and let g(x)=6x^3+x^2-5x-12 what is f(x)-g(x)

Mathematics
1 answer:
Anarel [89]3 years ago
7 0

f(x) - g(x) = -5x^3-5x^2+5x +21

Step-by-step explanation:

Given functions are:

f(x) = x^3-4x^2+9\\g(x) = 6x^3+x^2-5x-12

We have to find the difference of functions

So,

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

Combining like terms

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

Hence,

f(x) - g(x) = -5x^3-5x^2+5x +21

Keywords: Functions, Operations

Learn more about functions at:

  • brainly.com/question/5798698
  • brainly.com/question/5758530

#LearnwithBrainly

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