If `2x + 3|y|= 4y`, then y as a function of x i.e. `y = f(x)`, is -

If f(2x + 3y, 2x-3y)=4xy , then find the value of f(x,y)

If y=f(x)=(x-3)/(2x+1)and z=f(y), express z as a function of x.

For which of the following, y can be a function of x, (x in R, y in R) ? {:((i) (x-h)^(2)+(y-k)^(2)=r^(2),(ii)y^(2)=4ax),((iii) x^(4)=y^(2),(iv) x^(6)=y^(3)),((v) 3y=(log x)^(2),""):}

For which of the following, y can be a function of x, (x in R, y in R) ? {:((i) (x-h)^(2)+(y-k)^(2)=r^(2),(ii)y^(2)=4ax),((iii) x^(4)=y^(2),(iv) x^(6)=y^(3)),((v) 3y=(log x)^(2),""):}

Consider the function f(x)={2x+3, x le 1 and -x^2+6, x > 1 Then draw the graph of the function y=f(x), y=f(|x|) and y=|f(x)|.

Consider the function f(x)={2x+3, x le 1 and -x^2+6, x > 1} Then draw the graph of the function y=f(x), y=f(|x|) and y=|f(x)|.

If the function / satisfies the relation f(x+y)+f(x-y)=2f(x),f(y)AA x,y in R and f(0)!=0 ,then f(x) is an even function f(x) is an odd function If f(2)=a, then f(-2)=a If f(4)=b, then f(-4)=-b

Let y=f(x) be function satisfying the differential equation (y^(2)x-y^(2))dx-xydy-0 and y(1)=e then the range of the function f(x) is:

Verify whether the function f : N to Y defined by f(x) = 4x + 3 , where Y = {y : y = 4x + 3, x in N} is invertible or not. Write the inverse of f(x) if exists.