Given the functions, f ( x ) = x – 8 and g ( x ) = x2 x – 1, perform the indicated operation. when applicable, state the domain restriction. ( fg )( x )

(fg)(x)= x³ – 7x² – 9x + 8

domain is (-∞,∞)

Given: f(x)= x-8, g(x)= x² +1x – 1

To find (fg)(x) we multiply f(x) and g(x)

(fg)(x) = f(x) * g(x)

(fg)(x)= (x-8) (x²+x-1)

(fg)(x)= x³ + x² – x – 8x² – 8x +8

(fg)(x)= x³ – 7x² – 9x + 8

we know, domain for all cubic function is set of all real numbers

x³ – 7x² – 9x + 8(-∞,∞)Given:f(x)= x-8, g(x)= x² +1x – 1x³ – 7x² – 9x + 8(-∞,∞)functions” here: https://brainly.com/question/12431044