Let f, g : R maps R be two functions defined as f (x) = |x| + x and g(x) - Maths - Probability

Question

Let f, g : R maps R be two functions defined as f (x) = |x| + x and
g(x) = |x| – x, for all x beloging R Then find fog and gof

Akhil Goyal · Accepted Answer

f(x)=|x| + x  ∀ x∈ℝg(x) = |x| – x  ∀ x∈ℝf∘g=f(g(x))=||x| – x| + |x| – x⇒f∘g=0∀ x≥0-4x∀ x<0Similarly:g∘f=g(f(x))=||x| + x| –(|x| + x)⇒g∘f=0∀ x≥00∀ x<0

Let f, g : R maps R be two functions defined as f (x) = |x| + x and g(x) = |x| – x, for all x beloging R. Then find fog and gof