Find the domain of these functions.
1) \(y=3{log}_{2}(x+5)\)
2) \(y=(x-2)^3+1\)
3) \(y=2^{\frac{x}{4}}-3\)
4) \(y=\left |2x+5 \right |-3\)
5) \(y=(\frac{1}{2}x-1)^2+3\)
6) \(y=\sqrt{6-3x}\)
7) \(y=\frac{4}{3-x}-2\)
1. We can't take the log of a negative or 0...... so.....domain ⇒ x > -5
2. all real numbers
3. all real numbers
4. all real numbers
5. all real numbers
6. 6 - 3x must be ≥ 0 .....so...... x ≤ 2
7. all reals except x = 3 [ 3 makes the denominator = 0 ]
+895 
