if this function is defined for the Real numbers then the domain of the function is x = 0 and x > 17 because if the value of x is less than 17 then the number will become negative and negative number in the square root sign cannot have real solution.
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I think Ajay meant x <= 0 or x >= 17 (and not x = 0)
The working: x(x-17) > 0
By sketching the parabola, you will see the answer
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Mustafa: Pick any number between 0 and 17, sub it in, and see what happens.
if this function is defined for the Real numbers then the domain of the function is x = 0 and x > 17 because if the value of x is less than 17 then the number will become negative and negative number in the square root sign cannot have real solution.
f(x)=sq.rtx(x-17).,
for function to be defined
x(x-17)>=0,
two cases will arise,
x>=0 and x-17>=0,
x>=0 and x>=17.
x E [17,infinity),
x<=0 and x<=17,
x E (-infinity,0]
on combining both the cases,
x E (-infinity,0]U[17,infinity).
all numbers between 0 and 17
domain: x:xâ{17 ⥠x ⥠0}