`2x-3lex/2`

The function f(x) {:(= x+2", ... " 1 lex le 2 ),(=4 ", ... " x = 2 ) ,(=3x -2 ", ... "x gt2 ) :} is continuous at

If A={x:1 lex le2} and B={ x: 0 lt x le 4} , find A cup B

If A={x:1 lex le2} and B={ x: 0 lt x le 4} , find A-B and

If A={x:1 lex le2} and B={ x: 0 lt x le 4} , find A capB

If A={x:1 lex le2} and B={ x: 0 lt x le 4} , find Acup B-(AcapB)

Solve the inequation 5(2x-3)lex/3+1 and show the solution set on the number line.

If f(x) ={(lambdasqrt(2x+3),0 lex le3),(mux + 12, 3 < x le 9):} is differentiable at x = 3 , then the value of lambda + mu is equal to

If f(x) ={(lambdasqrt(2x+3),0 lex le3),(mux + 12, 3 < x le 9):} is differentiable at x = 3 , then the value of lambda + mu is equal to

If f(x)= {{:((sqrt(1+kx)-sqrt(1-kx))/x", if "-1/2 lex lt 0),(2x^(2)+3x-2", if "0 le x le 1):} is continuous at x = 0 , then k = ….

A function f is defiend piece-wise as follows: f(x)=3x+5, if -3 lex lt 0 =2x-1,if0 lex lt 2 =2-x,if2 lex lt 4. State the domain of f. Also, evaluate f(1), f(3), f(-2), f(0), f(2) and f(5), whichever exist(s).