If `f(x)=x^(3/2)(3x-10),xgeq0,` then `f(x)` is increasing in ____.

If f(x)={x^2, for xgeq1 ; x for x<0 ,then fof(x) is given by

If f"(x)>0AAx in R, f'(3)=0,and g(x)=f("tan"hat2x-2"tan"x+4),0

Consider f(x)=sin3x,0<=x<=(pi)/(2), then (a) f(x) is increasing for x in(0,(pi)/(6)) and decreasing for x in((pi)/(6),(pi)/(2)) (b) f(x) is increasing forx in(0,(pi)/(4)) and decreasing for x in((pi)/(4),(pi)/(2)) (c) f(x)

Let f(x)=|x^2-3x-4|,-1lt=xlt=4 Then f(x) is monotonically increasing in [-1,3/2] f(x) monotonically decreasing in (3/2,4) the maximum value of f(x)i s(25)/4 the minimum value of f(x) is 0

Let f(x)=(3x-7)x^(2/3) . The interval in which f(x) is increasing.

If f(x)-3f((1)/(x))=2x+3(x ne 0) then f(3) is equal to

If f(x)={(sin(x^(2)-3x),xle0 6x+5x^(2),xgt0 then at x=0, f(x) is?

If f'(x^2-4x+3)gt0 " for all " x in (2,3) then f(sinx) is increasing on

Let F(x)=1+f(x)+(f(x))^2+(f(x))^3 where f(x) is an increasing differentiable function and F(x)=0 hasa positive root, then

f(x)={x+1, x<0,x^2, xgeq0 and g(x)={x^3, x<1, 2x-1, xgeq1 Then find f(g(x)) and find its domain and range.