The rule f ( x ) - g ( x ) is given as x^3 - x^2 + 18
Given data
f(x) = x3 + 10, g(x) = x2 - 8, and h(x) = 5x + 4
f(x) - g(x) = ( x3 + 10 ) - ( x2 - 8 )
= ( x3 + 10 ) - ( x2 - 8 )
opening the parenthesis gives
= x3 + 10 - x2 + 8
collecting like terms gives
= x3 - x2 + 18
Hence we can say that f(x) - g(x) = x3 - x2 + 18
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