In a question a student was given to find the derivative of the product of two functions f and g. The student by mistake thought (fg)'=f'g' for his question `f(x)=x^(3)` and he got the correct answer. Given that `g(4)=1.` Then which of the following is false?

In a question a student was given to find the derivative of the product of two functions fa n dgdot The student y misstate thought (fg)^'=f'g' for his question f(x)=x^3 and he got the correct answer. Given that g(4)=1. Then which of the following is false? g(5)=1/8 b. f^(prime)(x)<0 c. f(0)<0 d. none of these

Using the function f and g given below, find the fog and gof. Check whether fog=gof. f(x)=x-6, g(x)=x^(3)

Using the function f and g given below, find the fog and gof. Check whether fog=gof. f(x)=4x^(2)-1, g(x)=1+x

Using the function f and g given below, find the fog and gof. Check whether fog-gof. f(x)=3+x, g(x)=1+x

Using the function f and g given below, find the fog and gof. Check whether fog-gof. f(x)=(x+6)/(3), g(x)=3-x

Let f be a function defined on [0,2]. Then find the domain of function g(x)=f(9x^2-1)