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Let f be a function f:N→N be defined b...

Let `f` be a function `f:N→N` be defined by `f(x)=5x-3`, Find the image of `3,4,5`.

Text Solution

Verified by Experts

The correct Answer is:
`a rarr r;b rarr s; c rarr q; d rarr p`
f(x)=`4x^(3)-28x+24`
`=4(x^(3)-7x+6)`
`=4(x^(3)-x^(2)+x-x-6x+6`
`=(x-1)(x^(2)+x-6)`
`=4(x-1)(x+3)(x-2)`

Now nature of roots f(X)+p=0 can be obtained shifiting the graph of y=f(x) by p units upward or downward depending on whether p is positive or negative
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