Question

Let f:R->R and g: R->R where R is the set of real numbers . Find fog and gof where f(x) = x²-2 and g(x) = x/x+2. State whether these functions are injective, surjective and bijective.
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Answer 1

Step-by-step explanation:

fog(x)=f(g(x))

= f[x/x+2]

=(x/x+2)^2-2

gof=g(f(x))

=g(x^2-2)

=x^2-2/x^2-2+2

=x^2-2/x^2

these areay be surjective