Question

If f(x)=root 4x+9+2 which inequality can be used to find the domain of f(x )

Answer 1

x>=-11/4

Explanation:

f(x)=
`√(4x+9+2)`

The number which has a square root has to be greater than or equal to 0.

Hence, 4x+9+2>=0

Solve the inequality:

4x+9+2>=0

4x+11>=0

4x>=-11 ==> subtract 11 on both sides to isolate x

x>=-11/4 ==> divide both sides by 4