If `-9ltxle6` then `|x|in`

If f(x)={(x,,,0lexle1),(2-x,,,1ltxle2):} then point of discontinuity fo f(f(x)) is [0,2] is,

f(x)={{:(1+x, if 0lexle2),(3-x if 2ltxle3) :} ,then the number of values of x at which the function fof is not differentiable is

Let A={x in R|-9lexlt4},B={x inR|-13ltxle5} and C={x inR|-7lexle8} . Then, which one of the following is correct?

Let f(x){(x+1,xle4),(2x+1,4ltxle9),(-x+7,xgt9):} and g(x):{(x^(2),-1lexlt3),(x+2,3lexle5):} then, find f(g(x)) .

Write the following as intervals: (i) {x:x inR,-4ltxle6} (ii) {x:x inR, -12ltxlt-10} (iii) {x:x inR, 0lexlt7} (iv) {x:x in R , 3lexle4} .

Let f(x)={(x+1, -1lexle0),(-x,0ltxle1):} then

Let f(x)={{:(3^x","-1lexle1),(4-x","1ltxle4):} then

If secxcos5x+1=0 , where 0ltxle(pi)/(2) , then find the value of x.