+0  
 
0
217
1
avatar+771 

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)  \(y=\frac{4}{3-x}-2\)

AdamTaurus  Oct 4, 2017
 #1
avatar+87301 
+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 ]

 

 

cool cool cool

CPhill  Oct 4, 2017

5 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.