Show that if `f: A rarr B and g: B rarr C` are onto, then `gof: A rarr |Class 12 MATH | Doubtnut

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Show that if `f A rarr B` and `g B rarr C` are one-one, then `gof A | Class 12 Maths | Doubtnut Show that if `f A rarr B` and `g B rarr C` are one-one, then `gof A | Class 12 Maths | Doubtnut
Let f: A to B and g: B to C be two functions. Then, if gof is onto then g is onto, if gof is one... Let f: A to B and g: B to C be two functions. Then, if gof is onto then g is onto, if gof is one...
Show that if `f : A - gt B` and `g : B - gt C` are onto, then `gof : A - gt C` is also onto.... Show that if `f : A - gt B` and `g : B - gt C` are onto, then `gof : A - gt C` is also onto....
рдорд╛рдирд╛ f: R rarr R, c in R рдкрд░ рдЕрд╡рдХрд▓рдиреАрдп рд╣реИ рддрдерд╛ f(c )=0 рд╣реИ рдпрджрд┐ , g(x) =| f(x)| рддреЛ x= c рдкрд░ g | 12 | J... рдорд╛рдирд╛ f: R rarr R, c in R рдкрд░ рдЕрд╡рдХрд▓рдиреАрдп рд╣реИ рддрдерд╛ f(c )=0 рд╣реИ рдпрджрд┐ , g(x) =| f(x)| рддреЛ x= c рдкрд░ g | 12 | J...
In each of the following cases, state whether function is one-one, onto or bijective f:R-R f(x)=3-4x In each of the following cases, state whether function is one-one, onto or bijective f:R-R f(x)=3-4x
Composite Functions Composite Functions
Consider f {1, 2, 3} `rarr` {a, b, c} given by f(1) = a, f(2) = b and f | Class 12 Maths | Doubtnut Consider f {1, 2, 3} `rarr` {a, b, c} given by f(1) = a, f(2) = b and f | Class 12 Maths | Doubtnut
Let the function f:RR rarr RR and g:RR be defined by f(x) = sin x and g(x)=x^(2). Show that, (g... Let the function f:RR rarr RR and g:RR be defined by f(x) = sin x and g(x)=x^(2). Show that, (g...