Let f,g: R→R be defined, respectively by f(x) = x + 1,g(x) = 2x - 3 – InterviewSolution

1.

Let f,g: R→R be defined, respectively by f(x) = x + 1,g(x) = 2x - 3 Find f + g,f - g and f/g

Answer»

Given: f(x) = x + 1,g(x) = 2x - 3

(f + g)(x) = f(x) + g(x) = x + 1 + 2x - 3 = 3x - 2

(f – g)(x) = f(x) – g(x) = x + 1 - 2x + 3 = -x + 4

(f/g)(x) = f(x)/g(x) = (x + 1)/(2x - 3) x ≠ 3/2

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