" Q."13[" If "f(x)=1+x+x^(2)+x^(3)+...." の for "|x|<1" then "],[qquad f^(-1)(x)=]

Let f: [1,3] to R be a continuous function that is differentiable in (1,3) and f '(x) = |f(x) |^(2) + 4 for all x in (1,3). Then,

If f(x)=(x-1)(2x-3), x in [1,3] , then

" (a) If "A=[[2,1],[-1,3]]" and "f(x)=x^(2)-4x+2," then find "f(A)

If f(x)=(x-1)(x-2)(x-3), x in [1,3] , then

Let f:[1,3] toR be a continuous function that is differentiable in (1,3)" and " f'(x)=|(f(x))|^2+4" for all "x in(1,3) . Then,

Verify Mean Value Theorem if f(x)= x^(3) - 5x^(2) - 3x in the interval [1,3] .

If f(x)=2x^(3)-13x^(2)+17x+12; Find f(-1) and f(2)

If f:[0,1] to [-1,3] defined by f(x) =x^(2)+x+1 , then f is

If f (x)= {{:(x ^(3), , x ∈ Q),(-x ^(3),,x ∉ Q):}, then :