SOLUTION: f(x) = (x+1)^3/4 For the function f, defined above, what are all the values of x for which f(x) is a real number? Answer for this is x >= -1 Would like to have an explanation

Algebra ->  Functions -> SOLUTION: f(x) = (x+1)^3/4 For the function f, defined above, what are all the values of x for which f(x) is a real number? Answer for this is x >= -1 Would like to have an explanation       Log On


   



Question 937340: f(x) = (x+1)^3/4
For the function f, defined above, what are all the values of x for which f(x) is a real number?
Answer for this is x >= -1
Would like to have an explanation for this answer.

Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29+=+%28x%2B1%29%5E%283%2F4%29
f%28x%29+=+root%284%2C%28x%2B1%29%5E3%29 ...as you can see, the radicand is %28x%2B1%29%5E3 and if radicand is greater or equal to zero solution will be a real number
so, it will be equal to zero if %28x%2B1%29%5E3%29 =>x=-1-first solution that is real number, and all solutions that are real number will be if x%3E=-1
answer: the values of x%3E=-1 for which f(x) is a real number

+graph%28+600%2C600%2C+-10%2C+10%2C+-10%2C+10%2C+%28x%2B1%29%5E%283%2F4%29%29+