SOLUTION: If f(x) = √x^2-1 and g(x) = √x-1 which expression represents f(x)/g(x) for x>1?
Algebra.Com
Question 888276: If f(x) = √x^2-1 and g(x) = √x-1 which expression represents f(x)/g(x) for x>1?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
= = =
following is the graph of the equation of
following is the graph of the equation of
the first graph doesn't allow values of x = 1 because that would make the denominator equal to 0 and the function would be undefined.
the first graph also doesn't allow values of x <1 because that would make the numerator the squart root of a negative number which is also undefined in the real number system.
the second graph goes to 0 because x+1 will be positive for values less than 1 of x but greater than or equal to 0 and will also allows x = 1 because there is no denominator in that equation.
the 2 equations are equivalent except that once you eliminated the denominator by canceling it out, you can then get a defined solution at x = 1.
RELATED QUESTIONS
Let f(x) = √(x+5) and g(x) = x ^2 – 1. Find (f °g)(x) and (g... (answered by greenestamps)
sqrt x^2-1 and g(x)= sqrt x-1 which expression represents f(x)/g(x) for x>1?
(answered by MathLover1)
If f(x)=sqrt x^2-1 and g(x)=sqrt x-1, which expression represents f(x)/g(x) for... (answered by jim_thompson5910)
f(x)= 1/x-1; g(x)= √x
find f(g(g)) and g(f(g)). State the... (answered by stanbon)
For f(x) √x-1 and g(x)=√4-x,find (f/g)(x)and its... (answered by stanbon)
This is what i submitted and am being told that the composition of one of my answers is... (answered by stanbon)
Find (fog)(x), where f(x)=√x and... (answered by jim_thompson5910)
If g(x) = √( x - 1) + √(2x), find all values of x for which g(x) =... (answered by edjones)
f(x)=1/((x-4)(√(x+2)))
g(x)=√(20-x)
find domain of... (answered by edjones)