A. use composition to prove whether or not the functions are inverses of each other. b. express the domain of the compositions using interval notation f(x)= 1/x-5, g(x)=5x+1/x

Answer with explanation:

If f(x) and g(x) are two functions which are Inverses of each other then

either of two will be true.

→fog(x)=x

→ gof (x)=x

⇒fog(x)

=f[g(x)]

→ gof (x)

=g[f(x)]

Which shows that f(x)  and g(x) are inverses of each other.

→Domain of f(x)= All Real numbers excluding 5=R-{5}

→Domain of g(x)=All Real numbers  excluding 0=R-{0}

→Domain of fog(x)=All Real numbers

the diameter is 16 cm. are you a teacher?

step-by-step explanation: