If f(x)= 4 x+x^4 1+4 x^3 and g(x)= In ( 1+x 1-x ) , then what is the value of f^ g ( e -1 e +1 ) equal to?

Step-by-step solution

aligned & f ( x )= 4 x + x ^4 1+4 x ^3 , ~g ( x )= ( 1+ x 1- x ) & g ( e -1 e +1 )= ( 1+ ( e -1 e +1 ) 1- ( e -1 e +1 ) )= ( e +1+ e -1 e +1- e +1 ) aligned aligned & = ( 2 2 )= e =1 & fo g ( e -1 e +1 )= f (1)= 4(1)+(1)^4 1+4(1)^3 = 4+1 1+4 = 5 5 =1 aligned