F (x) = x^3+4x-7

g (x) = 6x^4-5x+2

What is f (x) - g (x) ?

f (x) - g (x) = x-x

f (x) - g (x) = -6x^4+x^3+9x-9

f (x) - g (x) = 6x^4-x^3-9x+9

f (x) - g (x) = 6x^4+x^3-x

f (x) - g (x) = -6x^4+x^3+9x-9

Step-by-step explanation:

To find f (x) - g (x), subtract the expressions by distributing a negative into g (x) and combine like terms. Recall, like terms are terms which have the same base and exponent.

f (x) - g (x) = x^3 + 4x - 7 - (6x^4 - 5x + 2)

f (x) - g (x) = x^3 + 4x - 7 - 6x^4 + 5x - 2

f (x) - g (x) = - 6x^4 + x^3 + 9x - 9