Find the minimum and maximum of the function

y=\dfrac{x^2+x^2+2}{2x^2-x+1}

Find the minimum and maximum of the function

y=\dfrac{x^4+x^2+5}{(x^2+1)^2}

Find the max and min values of the function y=\sqrt{1-x}+\sqrt{x-\dfrac{1}{2} }

If 2f(x)+3f(-x)=x^3+x+5, find the value of f(-1)

If f(x+y) = f(x)f(y) such that f(3) = 64. Find the value of f(2)-f(1) .

If y=f(x) is an even function in its domain R, then f(1+\sqrt{2})-f(\dfrac{1}{1-\sqrt{2}})=

g(x) = ax^2+24

For the function g defined above, a is a constant and g(4)=8. What is the value of g(−4)?

What value(s) must be excluded from the domain of

f=\{(x,y):y=\dfrac{x+2}{x-2} \}

For f(x) = 3x^2 + 4, g(x) = 2, and h = {(1,1), (2,1), (3,2)},

If {(3,2),(4,2),(3,1),(7,1),(2,3)} is to be a function, which one of the following must be removed from the set?

Given |x|\leq 1, |y|\leq 1, find the range of |x^2-xy-y^2|

If f(x)=\dfrac{1}{x} , and 0< x<1 , what is the range of f(x)?

If f(x)=\sqrt{x^2-4} , what is the domain?

If an empty rectangular water tank that has dimensions 100 centimeters, 20 centimeters is to be filled using a right cylindrical bucks with a base radius of 9 centimeters and a height of 20 centimeters, approximately how many buckets of water will it take to fill the tank?

If f(x)=x^2-1 , g(x)=(x-1)^{-1}, and x {=}\mathllap{/\,}1 , then f(x)g(x) =