If `f(x)=x and g(x)=|x|`, then define the following functions:
`(i) f+g " "(ii) f-g`
`(iii) f*g" "(iv) (f)/(g)`

If f and g are functions defined by : f(x) =sqrt(x - 1), g(x) = (1)/(x) , then describe the following : (i) f + g (ii) f - g (iii) fg (iv) (f)/(g) .

If f(x) = x^(2) and g(x) = Ixl then find the values of: (i) f+g, (ii) f-g, (iii) fg, (iv) 2f, (v) f^(2) , (vi) f+3

If f(x) = x^(2) and g(x) = Ixl then find the values of: (i) f+g, (ii) f-g, (iii) fg, (iv) 2f, (v) f^(2) , (vi) f+3

If f(x)=x^(2) and g(x)=2x , then evaluate, (i) (f+g)(3)" "(ii) (f-g)(2) (iii) (f*g)(1)" "(iv) ((f)/(g))(5)

If f(x)=x^(2) and g(x)=2x , then evaluate, (i) (f+g)(3)" "(ii) (f-g)(2) (iii) (f*g)(1)" "(iv) ((f)/(g))(5)

If f(x)=cosx and g(x)=2x+1 , which of the following are even functions? I. f(x)*g(x) II f(g(x)) III. g(f(x))

If f and g are two real valued functions defined as f(x) =2x +1 and g (x) =x^(2) +1 then find (i) f+g (ii) f-g (iii) fg (iv) (f)/(g)

If f and g are two real valued functions defined as f(x) =2x +1 and g (x) =x^(2) +1 then find (i) f+g (ii) f-g (iii) fg (iv) (f)/(g)

Let f(x) = x^(2) , g (x) = 2x + 1 be two functions. Then find (i) (f + g) (x) (ii) (f - g) (x) (iii) (fg) (x)

If the functions are defined as f(x)=sqrtx and g(x) = sqrt(1-x) , then what is the common domain of the following functions : f+g, f//g, g//f, f-g " where " (fpm g)(x)=f(x) pm g(x),(f//g)(x)=(f(x))/(g(x))