Let I be the set of integer and f : I `rarr` I be defined as f(x) = `x^(2), x in I`, the function is

Let ZZ be the set of integers and f:ZZ rarr ZZ be defined by , f(x)=x^(2) . Find f^(-1) (16) and f^(-1) (-4)

Let ZZ be that set of integers and f:ZZ rarr ZZ be defined by f(x)=2x, for all x in ZZ and g: ZZ rarr ZZ be defined by, (for all x in ZZ) g(x)={((x)/(2) " when x is even" ),(0" when x is odd" ):} Show that, (g o f) =I_(ZZ) , but (f o g) ne I_(ZZ) .

Let Q be the set of rational numbers and f:QQ rarr QQ be defined by , f(x)=3x-2, find g:QQ rarr QQ , such that (g o f) = I_(QQ) .

Let f:R rarr R be a function defined as f(x)=(x^(2)-6)/(x^(2)+2) , then f is

Let f:R rarr R be a function defined as f(x)=(x^(2)-6)/(x^(2)+2) , then f is

Let R be the set of all real numbers and let f:R rarr R be a function defined by f(x) = x +1 Draw the graph f

Let z denote the set of all integers.Define : f:z rarr z by f(x)={(x)/(2),(xiseven),0,(xisodd) Then f is

Let f:RrarrR be defined by f(x)=x^(2)+1 . Find the pre-image of (i) 17 (ii) - 3.

Let the function f: RR rarr RR be defined by, f(x) =x^(2), . Find (i) f^(-1) (25) , (ii) f^(-1) (5) , (iii) f^(-1) (-5)