If f is an even function and g is an odd function defined on [-1,1] find `int_(-1)^(1) f(x) g (x) dx.`

Find int_(-1)^(1) |x| dx .

Examine continuity of the function f defined by. f(x)=x-5

Find the domain and range of the real functions f defined by f(x)=sqrt (x-1) .

Find the domain and range of the real function f defined by f(x)=|x-1|

Examine continuity of the function f defined by. f(x) =|x-5|

Examine continuity of the function f defined by. f(x) =frac(1)(x-5)

Find y=(f(f(x))) if f(x)=1/(1-x)

If f : R rarr R is defined by f(x)=x^2+2 and g : R-{1} rarr R is defined by g(x)=x/(x-1) , find (fog)(x) and (gof)(x) .

If f:RrarrR defined by f(x)=(3x+5)/2 is an invertible function, then find f^(-1)

find the points of discontinuity of the function f defined by f(x) = {(4x+1,x 0):}