Question

find (g o f)(x) for the pair of functions and five the domain.
F(x)=7/x, g(x)=3-x

Answer 1

Use f(x) as input into the function g(x).

Answer 2

meant to type give the domain

Answer 3

so g(x) = 3 - 7/x?

Answer 4

\[(g \circ f)(x) \implies g(f(x))\]Here,\[(g \circ f)(x) \implies g(f(x)) \implies g\left({7 \over x}\right)\implies 3 - {\left(7 \over x \right)}\]

Answer 5

we might actually simplify it as the following:\[{3x \over x} - {7 \over x}\]\[\implies {3x -7 \over x}\]

Answer 6

Now to find the domain, what is X not allowed to be?

Answer 7

I have no idea......

Answer 8

What would break an important math rule and make things go all hay-wire?

Answer 9

dividing by 0?

Answer 10

Look where X is. What might happen if it were some particular number?

Answer 11

Exactly! Don't let X do that!

Answer 12

so my domain is 0?

Answer 13

No it is x≠0.

Answer 14

Or more specifically, it is the set of all numbers except x=0.

Answer 15

ok. thank you

Answer 16

so domain is x\[x \neq 0 \]

Answer 17

In compact math symbols, it is x∈{R:x≠0}, but you can usually just put a " ,x≠0" after your function to state that.

Answer 18

ok. thank you

Answer 19

lol, hay-wire :)

Answer 20

;-)

Answer 21

ok so i got another one that says f(x)=x-1where i find (f o f)(x)
I came out with (f o f)(x)=x-2

is that right? and how would i find the domain?