If `f(x) = {(3x+1,;0lt=xlt=2), (1+9x,;2ltxlt3),(30+2x,;xgt=3):}` find (i) `f(1)` (ii) `f(5/2)` (iii) `f(4)`

Let f:RtoR , defined by f(x)={{:(3x-2,xlt0),(1",",x=0),(4x+1",",xgt0):} Find (i) f(2) (ii) f(-2) (iii) f(0) (iv) f(3.5)

If X is the random variable with porbability density function f(x) given by f(x)={(x-1,1lt=xlt2),(-x+3,2lt=xlt3),(0,"otherwise"):} find (i) the distribution function F(x) (ii) P (1.5lt=X lt=2.5)

If f(x)={(2x-1, xle0 ),(x+1,0ltxlt2),(4-5x, xge2)} find f(0),f(-1),f(1),f(2),f(4).

If f(x)= {(x^2,"when" ,xlt0),( x ," when", 0lexlt1),( 1/x ," when", x gt1):} F i n d : (i) . f(1//2) (ii) . f(-2) (iii) . f(1) (iv) . f(sqrt(3)) (v) . f(-sqrt(3))

If f(x)=[(x,xlt1),(x^(2),1lexle4),(8sqrt(x),xgt4):} the find f^(-1)(x) .

f : R rarr R , f(x) ={{:(2x,xgt3),(x^2,1ltxle3),(3x,xle1):} then find f (-1) + f(2) + f(4) .

If the function f : R to R is defined by f(x)={{:(2x+7","x lt -2),(x^(2)-2","-2 le x lt 3","),(3x-2","x ge 3):} then find the values of (i) f(4) (ii) f(-2) (iii) f(4)+2f(1) (iv) (f(1)-3f(4))/(f(-3))

If the function f is defined as f(x) = {(3x-2,xgt3),(x^(3)-2,-2lt=xlt=2),(2x+1,xlt-2):} Then find the values, if exists f (4), f (-4), f(0), f(-7).