Let `QQ` be the set of rational numbers and `f:QQ rarrQQ` be defined by ,
`f(x) =ax+b`
where `a, b, x in QQ and a ne 0` . Prove that ,f is a bijection

Let QQ be the set of rational numbers, If f: QQ rarr QQ is defined by f(x)=ax+b , where a, b, x in QQ and a ne 0 , then show that f is invertible and hence find f^(-1)

Let QQ be the set of rational numbers and f:QQrarrQQ, be defined by, f(x)=2x^2-11x+16. Find {x:f(x)=4}.

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 RR be the set of real numbers and f: RR rarr RR be defined by , f(x) =x^(3) +1 , find f^(-1)(x)

Show that, the mapping f: RR rarr RR defined by f(x)=mx +n , where m,n, x in RR and m ne 0 , is a bijection.

Let RR be the set of real numbers and f : RR to RR be defined by f(x)=sin x, then the range of f(x) is-

Let RR be the set of real numbers and f, Rrto RR be defined by f (x)= cos ec x(x ne npi, n in z): then image set of f is-

Let RR be the set of real numbers and the mapping f: RR rarr RR be defined by f(x)=2x^(2) , then f^(-1) (32)=

Let RR^(+) be the set of positive real numbers and f: RR rarr RR ^(+) be defined by f(x) =e^(x) . Show that, f is bijective and hence find f^(-1)(x)

Let RR be the set of real numbers and A=R-{3},B=R-{1} . Show that , f: A rarr B defined by , f(x) =(x-1)/(x-3) is a one-one onto function.