Precalculus: Functions

Problem : Let f (x) = 2x - 5 and g(x) = . What are (f + g)(x) , (f - g)(x) , (fg)(x) , ()(x) , and (f o g)(x) ?

Solution for Problem 1 >>

(f + g)(x) = x - 5 ; (f - g)(x) = x - 5 ; (fg)(x) = x ² - x ; ()(x) = ; (f o g)(x) = x - 5 .

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Problem : Let f (x) = - 2 and g(x) = x + 1 . What is (f o g)(x) and (g o f )(x) ?

Solution for Problem 2 >>

(f o g)(x) = - 2 ; (g o f )(x) = - 1 .

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