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Mathematics, 05.08.2021 01:50 applejulianamoreno

For the given​ functions, find ​(f◦​g)(x) and ​(g◦​f)(x) and the domain of each. ​f(x)=2/1−7x​, ​g(x)=1x

​(f◦​g)(x)=

nothing

​(Simplify your​ answer.)

​(g◦​f)(x)=

nothing

​(Simplify your​ answer.)

What is the domain of f◦​g?

A.

​(−∞​,7​) ∪ ​(7​,∞​)

B.

​(−∞​,0) ∪ ​(0,7​) ∪ ​(7​,∞​)

C.

​(−∞​,0) ∪ ​(0,∞​)

D.

​(−∞​,−7​) ∪ ​(−7​,0) ∪ ​(0,∞​)

What is the domain of g◦​f?

A.

​(−∞​,7​) ∪ ​(7​,∞​)

B.

​(−∞​,0) ∪ ​(0,17​) ∪ ​(17​,∞​)

C.

​(−∞​,17​) ∪ ​(17​,∞​)

D.

​(−∞​,0) ∪ ​(0,∞​)

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