Question

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 )

Answers

  1. (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
    domain is (-∞,∞)
    Know more about “functions” here: https://brainly.com/question/12431044
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