Answer:
The value of the given function f(x) at x = 0 is 0
Step-by-step explanation:
The function is given to be :
[tex]f(x)=\tan^{-1}x[/tex]
Now, we need to find the value of the given function f(x) when x = 0
So, To find f(0) we substitute x = 0 in the given function f(x)
[tex]\implies f(x)=\tan^{-1}x\\\\\implies f(0)=\tan^{-1}(0)\\\\\implies f(0)=\tan^{-1}(\tan 0)\\\\\implies f(0)=\tan^{-1}\tan(0)\\\\\implies f(0)=0[/tex]
Therefore, The value of the given function f(x) at x = 0 is 0
