Let the mapping `f: A rarr B and g: B rarr C` be defined by `f(x)=5/x -1 and g(x)=2+x` Find the product mapping ( g o f ).

Let the functions f: RR rarr RR and g: RR rarr RR be defined by f(x)=x+1 and g(x)=x-1 Prove that , (g o f)=(f o g)=I_(RR)

Let IR be the set of real numbers and the mapping f:IR rarr IR and g:IR rarr IR be define by f(x)=5-x^2 and g(x)=3x-4, then the value of (fog)(-1) is

let the functions f: RR rarr RR and g: RR rarr RR be defined by f(x)=3x+5 and g(x)=x^(2)-3x+2 . Find (i)(g o f) (x^(2)-1), (ii) (f o g )(x+2)

Let RR be the set of real numbers and the mapping f: RR rarr RR and g: RR rarr RR be defined by f(x)=5-x^(2) and g(x) =3x -4 , state which of the following is the value of (f o g) (-1) ?

Let the function f:RR rarr RR and g: RR rarr RR be defined by f(x)=x^(2) and g(x)=x+3, evaluate (f o g) (2) , (ii) (g o f) (3)

Let f:RR rarr RR and g: RR rarr RR be two mapping defined by f(x)=2x+1 and g(x)=x^(2)-2 , find (g o f) and (f o g).

Let RR be the set of real numbers . If the functions f:RR rarr RR and g: RR rarr RR be defined by , f(x)=3x+2 and g(x) =x^(2)+1 , then find ( g o f) and (f o g) .

Let the functions f: QQ rarr QQ and g: QQ rarr QQ be defined by, f(x)=3x and g(x)=x+3 . Assuming that f and g are both invertible , verify that , ( g o f) ^(-1) =(f^(-1) o g ^(-1)) .

Let the function f: RR rarr RR and g: RR rarr RR be defined by, f(x) =x^(2)-4x+3 and g(x)=3x-2 . Find formulas which define the composite functions (i) f o f (ii) g o g (iii) f o g and (iv) g o f

Let the functions f: RR rarr RR and g: RR rarr RR be given by f(x)=3x-2 and g(x)=3|x|-x^(2) . Find (i) (g o f) (-1) , (ii) (f o g) (-2) , (iii) (g o f) (3), (iv) ( f o g) (4)