The answer to the product of the functions f(x) = x2 and g(x) = x - 8 is f(x).g(x) = x3 - 8x2.
The given functions are :
f(x) = x2 --- (1)
g(x) = (x - 8) --- (2)
The product of the functions is obtained by multiplying equations (1) and (2)
f(x). g(x) = x2 × (x - 8)
f(x).g(x) = x3 - 8x2
Let us take another example
Let f(x) = x3 - 2x2 + x - 4 and g(x) = 1/2x
The product of the above two functions will be :
f(x).g(x) = (x3 - 2x2 + x - 4) × (1/2x)
= ( x3)(1/2x) -( 2x2)(1/2x) + (x)(1/2x) - (4)(1/2x)
= x2/2 - x + 1/2 - 2/x
= x2/2 - x - 2/x + 1/2