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यदि f(x) = (3x + 4)/(5x-7) द्वारा परिभा...

यदि `f(x) = (3x + 4)/(5x-7)` द्वारा परिभाषित फलन `f: R -{(7)/(5)} to R-{(3)/(5)}`तथा `g(x) = (7x + 4)/(5x-3)` द्वारा परिभाषित फलन `g : R-{(3)/(5)} to R- {(7)/(5)}` प्रदत है , तो सिद्ध कीजिए कि `fog= I_(A)` तथा `gof = I_(B)`, इस प्रकार कि `I_(A) (X) =x, AAx n A `और `I_(B) (x) = a, AA x in B` जहाँ `A = R - {(3)/(5)}, B= R -{(7)/(5)}` है| `I_(A)` तथा `I_(B)` को क्रमश : समुच्चय A तथा B पर ततसमक (Identity) फलन कहते है |

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If f (x) = (3x + 4)/( 5x -7), g (x) = (7x +4)/(5x -3) then f [g(x)]=

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Show that if f :R - {(7)/(5)} to R - {(3)/(5)} is defined by f (x) = (3x +4)/( 5x -7) and g :R - {(3)/(5)} to R - {(7)/(5)} is defined by g (x) = (7x +4)/(5x -3), then fog = I _(A) and gof =I _(B), where, A = R - {(3)/(5)}, B = R -{(7)/(5)},I_(A)(x) =x, AA x in A, I_(B) (x) =x , AA x in B are called identity functions on sets A and B, respectively.

If f:RR -{(7)/(5)} rarr RR-{(3)/(5)} be defined as f(x)=(3x+4)/(5x-7) and g:RR- {(3)/(5)} rarr RR -{(7)/(5)} be defined as g(x)=(7x+4)/(5x-3) .Then find f o g .

Show that if f :R {(7)/(5)} to R - {(3)/(5)} is defined by f (x) = (3x +4)/( 5x -7) and g :R - {(3/(5)} to R - {(7)/(5)} is defined by g (x) = (7x +4)/(5x -3), then fog = I _(A) and gof =I _(B), where, A = R - {(3)/(5)}, B+R -{(7)/(5)},I_(A)(x) =x, AA x in A, I_(B)|(x) =x , AA x in B are called identity functions on sets A and B, respectively.

Show that if f : R - {7/5} to R - {3/5} is defined by f(x) = (3x + 4)/(5x - 7) and g : R - {3/5} to R - {7/5} is defined by g(x) = (7x + 4)/(5x - 3) , then fog = I_(A) and gof = I_(n) , where A = R - {3/5}, B = R - {7/5}, I_(A) (x) = x, AA x in A, I_(B) (x) = x, AA x in B are called identify function on sets A and B, respectively.

Show that if f:R-{(7)/(5)}rarr R-{(3)/(5)} is defined by f(x)=(3x+4)/(5x-7) and g:R-{(3)/(5)}rarr R-{(7)/(5)} is define by g(x)=(7x+4)/(5x-3), then fog=I_(A)A=R-{(3)/(5)},B=R-{(7)/(5)};I_(A)(x)=x,AA x in A,I_(B)(x)=x,AA x in B are called ideal