Question

Given f(x) = (3x and g(x) = -6

Which value is in the domain of fºg?
Click on the correct answer

Answer 1

The answer is option C) 8

Explanation:

Given that ,

`f(x) = √(3x)` and
`g(x) = (1)/(x-6)`

f °g means replace the value of x in f(x) by function g(x). In above case as follows,

`f °g = √(3g(x)) = \sqrt{(3)/(x-6) }`

for the domain of the above function to be defined,

`(3)/(x-6)` > 0 , which means x > 6.

(at 6 function is not defined, indeterminant)

thus, in the above options only 8 is >6.