Question

1

Given f (x) = 3x and g(x) =
x + 3
Which value is in the domain of fo
fºg?
Click on the correct answer.
-7
3

Answer 1

x = 8

Explanation:

f(x) =
`√(3x)`

g(x) =
`(1)/(x+3)`

(f o g)(x) = f[g(x)]

=
`\sqrt{(3)/(x+3) }`

This function is defined for (x + 3) > 0

(x + 3) - 3 > 0 - 3

x > -3

From the given options x = 8 is the only solution which is greater than -3.

Therefore, x - 8 is in the domain of the given function.