A single formula that gives `f(x)` for all `x ge0` where `f(x)={(3+x, 0lexlt3),(3x-3, xge3):}` is

A single formula that gives f(x) for all x gt 0 , where f(x)={(2+x",",0lex lt 2),(3x-2",",x ge 2):} is

If f(x) ge0 for all x, then f(2-x) is

Evaluate int_(0)^(3)f(x)dx , where f(x)={:{(x+3,0lexle2),(3x" ",2lexle3):}

Evaluate int_0^3 f(x)dx , Where f(x)={(x,+,3,,,0lexle2),(3x,,,,,2lexle3):}

If f(x)={(x[x], 0lexlt2),((x-1)[x],2lexle3):} , then f(x) is

Find the values of 'a' for which, f(x)={(4x-x^(3)+log(a^(2)-3a+3)",",0lexlt3),(" "x-18",",xge3):} f(x) as a local minima at x=3 is

Find the values of 'a' for which, f(x)={(4x-x^(3)+log(a^(2)-3a+3)",",0lexlt3),(" "x-18",",xge3):} , f(x) as a local minima at x=3 is

Find the values of 'a' for which, f(x)={(4x-x^(3)+log(a^(2)-3a+3)",",0lexlt3),(" "x-18",",xge3):} , f(x) as a local minima at x=3 is