[" 147) If "f(x)=x-x^(2)+x^(3)-x^(4)+....," where "|x|<1],[" then: "f^(-1)(x)=]

If f(x)=x-x^2+x^3-x^4+... where |x| lt 1 , then: f^-1(x)=

If : f((x^(2)+1)/(x))=(x^(4)+1)/(x^(2))," where "xne0," then: "f'(3)=

If f(x)={{:(2x^(2)+1,"where "x lt1),(4x^(3)+1,"where "x gt1):} , then int_(0)^(2)f(x)dx is-

Find the domain of the function defined as f(x) = (x^(2) + 14x + 9)/(x^(2) -4x + 3) , where x in R .

Find the domain of the function defined as f(x) = (x^(2) + 14x + 9)/(x^(2) -4x + 3) , where x in R .

h(x)=3f((x^(2))/(3))+f(3-x^(2))AA x in(-3,4) where f'(x)>0AA x in(-3,4), then h(x) is

Find the intervals in which the following function are increasing or decreasing. f(x)=10-6x-2x^2 f(x)=x^2+2x-5 f(x)=6-9x-x^2 f(x)=2x^3-12 x^2+18 x+15 f(x)=5+36 x+3x^2-2x^3 f(x)=8+36 x+3x^2-2x^3 f(x)=5x^3-15 x^2-120 x+3 f(x)=x^3-6x^2-36 x+2 f(x)=2x^3-15 x^2+36 x+1 f(x)=2x^3+9x^2+20 f(x)=2x^3-9x^2+12 x-5 f(x)=6+12 x+3x^2-2x^3 f(x)=2x^3-24 x+107 f(x)=-2x^3-9x^2-12 x+1 f(x)=(x-1)(x-2)^2 f(x)=x^3-12 x^2+36 x+17 f(x)=2x^3-24+7 f(x)=3/(10)x^4-4/5x^3-3x^2+(36)/5x+11 f(x)=x^4-4x f(x)=(x^4)/4+2/3x^3-5/2x^2-6x+7 f(x)=x^4-4x^3+4x^2+15 f(x)=5x^(3/2)-3x^(5/2),x >0 f(x)==x^8+6x^2 f(x)==x^3-6x^2+9x+15 f(x)={x(x-2)}^2 f(x)=3x^4-4x^3-12 x^2+5 f(x)=3/2x^4-4x^3-45 x^2+51 f(x)=log(2+x)-(2x)/(2+x),xR

Find a continuous function f, where (x^(4)-4x^(2))lef (x) le (2x^(2)-x^(3)) such that the area bounded by y=f(x), y=x^(4)-4x^(2), the y-axis, and the line x=t," where "(0letle2) is k times the area bounded by y=f(x),y=2x^(2)-x^(3), y-axis, and line x=t("where "0le t le 2).