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Let f(x)=tan^(-1)(g(x)), where g(x) is monotonically increasing for 0

Let f(x)=tan^(-1)(g(x)) , where g(x) is monotonically increasing for 0

Let f(x) = tan^-1 (g(x)) , where g (x) is monotonically increasing for 0 < x < pi/2.

Let f(X) = tan^-1 g(x) , where g (x) is monotonically increasing for 0

Let f(x) =x - tan^(-1)x. Prove that f(x) is monotonically increasing for x in R

Let f(x) =x - tan^(-1)x. Prove that f(x) is monotonically increasing for x in R

f(x)=2x-tan^(-1)x-log{x+sqrt(x^(2)+1)} is monotonically increasing when (a) x>0 (b) x<0( c) x in R( d ) x in R-{0}

f(x)=2x-tan^(-1)x-log{x+sqrt(x^2+1)} is monotonically increasing when (a) x >0 (b) x<0 (c) x in R (d) x in R-{0}

If g(x) is a decreasing function on R and f(x)=tan^(-1){g(x)}. State whether f(x) is increasing or decreasing on R.

If g(x) is a decreasing function on R and f(x)=tan^(-1){g(x)} . State whether f(x) is increasing or decreasing on R .