If `f(x)=(1)/(x), f_(2) (x)=1-x, f_(3) (x)=1/(1-x)` then find `J(x)` such that `f_(2) o J o f_(1) (x)=f_(3) (x)` (a) `f_(1) (x)` (b) `(1)/(x) f_(3) (x)` (c) `f_(3) (x)` (d) `f_(2) (x)`

If f'(x)=(1)/(x)+x^(2) and f(1)=(4)/(3) then find the value of f(x)

If 2f(x)-3f((1)/(x))=6x+(1)/(x) then find f(x) and f(2)

If f(x)=(1+x)/(1-x), show that: f(2x)=(3f(x)-1)/(3-f(x)) .

If f(x)=x^2 -3x +1 find x in R such that f(2x)=f(x).

If f:R^(+)rarr R,f(x)+3xf((1)/(x))=2(x+1), then find f(x)

If f(x)=(x+1)/(x-1),x!=1 then (f(f(f(f(x)))))=f(x)

if f(x)+f((1)/(x))=f(x)f((1)/(x)) and f(3)=28 Then find f(4)

If f_(r)(x), g_(r)(x), h_(r) (x), r=1, 2, 3 are polynomials in x such that f_(r)(a) = g_(r)(a) = h_(r) (a), r=1, 2, 3 and " "F(x) =|{:(f_(1)(x)" "f_(2)(x)" "f_(3)(x)),(g_(1)(x)" "g_(2)(x)" "g_(3)(x)),(h_(1)(x)" "h_(2)(x)" "h_(3)(x)):}| then F'(x) at x = a is ..... .

If f(x)=f'(x) and f(1)=2, then f(3)=

If : 3f(x)-2f((1)/(x))=x," then: "f'(2)=