Let R be the set of all real numbers and let f be a function from R to R such that
`f(X)+(X+1/2)f(l-X)=1,`
for all `xinR." Then " 2f(0)+3f(1)` is equal to-

Let R be the set of all real numbers. Let f: R rarr R be a function such that : |f(x) - f(y)|^2 le |x-y|^2, AA x, y in R . Then f(x) =

Let R be the set of real numbers and let f:RtoR be a function such that f(x)=(x^(2))/(1+x^(2)) . What is the range of f?

Let R be the set of all real numbers and let f:R rarr R be a function defined by f(x) = x +1 Draw the graph f

Let R be the set of all real numbers. If , f : R to R be a function such that |f (x) - f (y) | ^(2) le | x -y| ^(3), AA x, y in R, then f'(x) is equal to a)f (x) b)1 c)0 d) x ^(2)

Let R be the set of all real numbers and let f:R rarr R be a function defined by f(x) = x +1 Complete the following table

Let R be the set of reals . Define a function F : R to R by f (x) = 2x^2-1 find f(f(x))

Let f:R to R be such that f(0)=0 and |f'(x)| le 5 for all x. Then f(1) is in

Let R be the set of reals . Define a function F : R to R by f (x) = 2x^2-1 find ( f(-1)+f(1))/( 2)

R is the set of real number . Define the function f :R to R by f (x ) =x^2 + 3 find f(-1) and f(2)