Question

If f: R to R is defined by f(x) =x square -5x,then the inverse image set of {-6}is​

Answer 1

Step-by-step explanation:

If f: R to R is defined by f(x) =x square -5x,then the inverse image set of {-6}is

For inverse image set of {−6}

For inverse image set of {−6}we have, x

For inverse image set of {−6}we have, x 2

For inverse image set of {−6}we have, x 2 −5x=−6

For inverse image set of {−6}we have, x 2 −5x=−6x

For inverse image set of {−6}we have, x 2 −5x=−6x 2

For inverse image set of {−6}we have, x 2 −5x=−6x 2 −5x+6=0

For inverse image set of {−6}we have, x 2 −5x=−6x 2 −5x+6=0x

For inverse image set of {−6}we have, x 2 −5x=−6x 2 −5x+6=0x 2

For inverse image set of {−6}we have, x 2 −5x=−6x 2 −5x+6=0x 2 −3x−2x+6=0

For inverse image set of {−6}we have, x 2 −5x=−6x 2 −5x+6=0x 2 −3x−2x+6=0(x−2)(x−3)=0

For inverse image set of {−6}we have, x 2 −5x=−6x 2 −5x+6=0x 2 −3x−2x+6=0(x−2)(x−3)=0Hence, the set is {3,2}

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