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how to find the domain for (-x+3/2)1/4

 Mar 3, 2015

Best Answer 

 #1
avatar+23247 
+5

The domain is the set of all allowable x-values.

I am assuming that you mean:  (-x + 3/2)1/4

The fourth root is defined for real numbers only for zero and positive numbers, so we need to find when

          -x + 3/2  ≥  0

                    -x  ≥  -3/2

Now, multiply both sides by -1, and change the direction of the inequality because you are multipling by a negative number:

                     x  ≤  3/2

 Mar 3, 2015
 #1
avatar+23247 
+5
Best Answer

The domain is the set of all allowable x-values.

I am assuming that you mean:  (-x + 3/2)1/4

The fourth root is defined for real numbers only for zero and positive numbers, so we need to find when

          -x + 3/2  ≥  0

                    -x  ≥  -3/2

Now, multiply both sides by -1, and change the direction of the inequality because you are multipling by a negative number:

                     x  ≤  3/2

geno3141 Mar 3, 2015

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