SOLUTION: f(x)= x^3-5^3/x-5 what is the domain and range of this function?

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Question 675124: f(x)= x^3-5^3/x-5
what is the domain and range of this function?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

IF this is what You meant (please use parenthesis when posting for clarity)

f(x)= %28x%5E3-5%5E3%29%2Fhighlight%28%28x-5%29%29  ||Domain is all real number except x=5



f(x)= %28%28x-5%29%28x%5E2+%2B+5x+%2B+25%29%29%2F%28%28x-5%29%29=+x%5E2+%2B+5x+%2B+25+

 f(x) = x^2 + 5x + 25

f(x) = (x+5/2)^2 - 25/4 + 100/4

f(x) = (x+ 5/2)^2 + 75/4   Parabola opening Upward V(-5/2,75/4)

Range is y ≥ 75/4