[" t "f(x)=x+{x}^(2)" where "{x}" is frac "],[=f(x),y=f^(-1)(x),x=0" and "x=(3)/(2)" is "]

If f(x)=(1)/(x)-1 where x ne 0, then: f(x)-2.f(2x)=

Let f(x)=a^(x)(a gt 0) be written as f(x)=f_(1)(x)+f_(2)(x), " where " f_(1)(x) is an function and f_(2)(x) is an odd function. Then f_(1)(x+y)+f_(1)(x-y) equals

Let f(x)=a^(x)(a gt 0) be written as f(x)=f_(1)(x)+f_(2)(x), " where " f_(1)(x) is an function and f_(2)(x) is an odd function. Then f_(1)(x+y)+f_(1)(x-y) equals

If f(x)=(1)/(x)-1 where x ne 0, then: f(x)+f(-x)+2=

Let f be a function such that f(x+y)=f(x)+f(y)" for all "x and y and f(x) =(2x^(2)+3x) g(x)" for all "x, " where "g(x) is continuous and g(0) = 3. Then find f'(x)

Let f be a function such that f(x+y)=f(x)+f(y)" for all "x and y and f(x) =(2x^(2)+3x) g(x)" for all "x, " where "g(x) is continuous and g(0) = 3. Then find f'(x)

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

If f(x)=x^3-frac{1}{x^(3)} find the value of f(x)+f(frac{1}{x})

Let f be a function such that f(x+y)=f(x)+f(y) for all x and y and f(x)=(2x^(2)+3x)g(x) for all x, where g(x) is continuous and g(0)=3 . Then find f'(x) .