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,∞​)

Consider the following geometry problems in 3-space enter t or f depending on whether the statement is true or false. (you must enter t or f -- true and false will not work.) f equation editorequation editor 1. a plane and a line either intersect or are parallel t equation editorequation editor 2. two planes parallel to a third plane are parallel f equation editorequation editor 3. two lines either intersect or are parallel f equation editorequation editor 4. two planes orthogonal to a third plane are parallel f equation editorequation editor 5. two planes orthogonal to a line are parallel f equation editorequation editor 6. two planes either intersect or are parallel f equation editorequation editor 7. two lines orthogonal to a third line are parallel t equation editorequation editor 8. two lines parallel to a third line are parallel t equation editorequation editor 9. two planes parallel to a line are parallel f equation editorequation editor 10. two lines parallel to a plane are parallel f equation editorequation editor 11. two lines orthogonal to a plane are parallel