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3 years ago

F(x)=9x^3+2x^2−5x+4 and g(x)=5x^3−7x+4.

Mathematics

1 answer:

Gennadij [26K]3 years ago

6 0

$f(x)-g(x) = 2x(2x^2+x+1)$

Further explanation:

Given functions are:

$f(x)=9x^3+2x^2-5x+4\\g(x)=5x^3-7x+4$

In order to find f(x)−g(x), g(x) will be subtracted from f(x)

$f(x) -g(x) = 9x^3+2x^2-5x+4 - (5x^3-7x+4)\\= 9x^3+2x^2-5x+4-5x^3+7x-4\\= 9x^3-5x^3+2x^2-5x+7x+4-4\\=4x^3+2x^2+2x\\=2x(2x^2+x+1)$

Hence,

$f(x)-g(x) = 2x(2x^2+x+1)$

Keywords: Operations on functions, Difference of functions

Learn more about functions at:

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