g2xquad " 6"quad x^(2)log x

Show that functions f and g defined by f(x)=2 log x and g(x) =log x^2 are not equal even though log x^2 =2 log x.

If f (x) = x^(2) +x ^(4) +log x and g is the inverse of f, then g'(2) is:

If f (x) = x^(2) +x ^(4) +log x and g is the inverse of f, then g'(2) is:

If f(x)=sinx, g(x)=x^2 and h(x)=log x, find h[g{f(x)}].

int( (log x)^(5) )/( x ) dx is equal to a) (log x^(6))/( 6) + C b) ( ( log x )^(6))/( 6) + C c) ((log x )^(6))/( 3x^(2)) + C d) none of these

Let f(x)=sinx,g(x)=x^2 and h(x) = log x. If F(x)=(h(f(g(x)))) , then F'(x) is:

If the function f(x)=log(x-2)-log(x-3) and g(x)=log((x-2)/(x-3)) are identical, then