`x^2-25lt=0, x^2-9>0, xgeq-4=`

f(x)={x+2, 0lt=x<2 and 6-x , xgeq2 and g(x)={1+tanx , 0 leq x lt pi/4 and 3-cotx , pi/4 leq x lt pi . find fog and discuss the continuity and differentiabillity of fog.

Let f(x) = {-x^2 ,for x<0x^2+8 ,for xgeq0 Find x intercept of tangent to f(x) at x =0 .

Let f(x)={x^2-4x+3,x<3 and x-4,xgeq3 }a n d g(x)={1,x<1 and x^2-x,1lt=x<4 and x-3,xgeq4 then function f(x)dotg(x) is discontinuous at (a)exactly 1 point (b) exactly 2 points (c)exactly 3 points (d) None of these

Let f(x) = {-x^2 ,for x<0; x^2+8 ,for xgeq0 Find x intercept of the common tangent to f(x) .

If x^(2)+6x-27 gt 0 and x^(2)-3x-4 lt 0 , then :

cosα is a root of the equation 25x^2+5x−12=0,−1 lt x lt 0 , then find the value of sin2α is:

cosα is a root of the equation 25x^2+5x−12=0,−1 lt x lt 0 , then find the value of sin2α is:

cosα is a root of the equation 25x^2+5x−12=0,−1 lt x lt 0 , then find the value of sin2α is: