If `f(x)=(3x-2)/(2x-3),` prove that `f(f(x)))=x` for all `x in R-{3/2}` .

If f(x)=2x^(2)+3x-5 , then prove that f'(0)+3f'(-1)=0

If f(x)= 2x^2+3x+5 , then prove that f'(0)+3f'(-1)=0

If f(x-2)=2x^2+3x-5 , find f(x) and prove that f(-1) = 0.

Let f:R to R and h:R to R be differentiable functions such that f(x)=x^(3)+3x+2,g(f(x))=x and h(g(x))=x for all x in R . Then,

If 2f(x) + 3f(-x) = 15 - 4x, then prove that f(x) = 3 + 4x.

If f(x) = (3x-2)/(2x-3),AA x in R -{(3)/(2)} , " Find " f^(-1)

If f(x)=x^(1/3)(x-2)^(2/3) for all x, then the domain of f' is x in R-{0} b.{x|x:)0} c.x in R-{0,2} d.x in R

If f(x)=x^(1//3)(x-2)^(2//3) for all x , then the domain of f' is x in R-{0} b. {x|x>>0} c. x in R-{0,2} d. x in R

Let f(sin x)+2f(cos x)=3 for all x in R Fird f(x)