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Algebra: Functions Test-6
f (x, y) = + (x +y)0.5,if (x +y)0.5is real otherwise = (x +y)2
g (x, y) = (x +y)2 if (x + y)0.5is real, otherwise =- (x +y)
If f(x, y) =g (x, y) then
Both b and c
The value of x and y could be anything so cant be sure about the functions
In this case ,f (x, y) = + (x +y)0.5 g (x, y) = (x +y)2
In this case both are 1
So f(x, y) =g (x, y)
None of these
(b) Using the various values of x and y we can create the following equations
We will find the values of a,b and c using the first 3 equations and will check if the values satisfy the other 3 equations
Using eq 1 and 2 we get
Using 2 and 3 we get
Solving we get c=3,b=-7 and a=8
The values of a, b and c satisfy all the equations to a large limit.
(c) As the exponential function grows more quickly for small positive values as compared to large values,
while quite the opposite is happening here. So can’t be a match
–M (-a, a,-b)
m (a+b, b,c)
None of these
(a) m (a,b,c)=min(a+b,c,a)
(b) –M (-a, a,-b)=-max(0,-b,-a)
(c) m (a+b, b,c)=min(a+2b,c,a+b)
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