Question

Help Please, anyone good at domain values of composite functions.

Answer 1

second choice

Explanation:

`(f \circ g)(x) =`

`= f(g(x))`

`= f(-7x + 7)`

`= √(-7x + 7 + 3)`

`= √(-7x + 10)`

Let x = 5:

`(f \circ g)(5) = √(-7(5) + 10)`

`(f \circ g)(5) = √(-35 + 10)`

`(f \circ g)(5) = √(-25)`

Since using x = 5 gives the square root of a negative number, 5 is not in the domain of the composition of the functions.

Answer: second choice