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( a ) Suppose f ( x ) = x 2 + 3 x , and we want an output of approximately 1 0 .

(

)

Suppose

f (x) = x^{2} + 3 x,

and we want an output of approximately

10 .

What input a should we aim for? Find a

so that if our input is

a + -

then our output will be

10 + - 1 .

Justify your answer.

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