What is (f⋅g) (x) ?

f (x) = x4-9

g (x) = x3+9

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(f⋅g) (x) =

The dot products of the two functions will be given as follows:

f (x) = x^4-9

g (x) = x^3+9

thus

(f*g) (x)

= (x^4-9) (x^3+9)

=x^3 (x^4-9) + 9 (x^4-9)

=x^7-9x^3+9x^4-81

hence the answer is:

(f*g) (x) = x^7-9x63+9x^4-81