Question

If f (x) = StartFraction x minus 3 Over x EndFraction and g(x) = 5x – 4, what is the domain of (f circle g) (x)? StartSet x vertical line x not-equals 9 EndSet StartSet x vertical line x not-equals one-third EndSet StartSet x vertical line x not-equals four-fifths EndSet StartSet x vertical line x not-equals 3 EndSet

Answer 1

Answer: is {x|x not equal to 4/5

Explanation:

Answer 2

Domain
`=\x\in R\ and \ x \\ot=(4)/(5)\`

Explanation:

`f(x)=(x-3)/(x)\\g(x)=5x-4\\f(g(x))=f(5x-4)\\\\=(5x-4-3)/(5x-4) \\\\=(5x-7)/(5x-4)\\\\`

`f\ o\ g(x)` is not defined at
`x=(4)/(5)`

Hence domain will be real line except
`x=(4)/(5)`