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Olin [163]
3 years ago
8

If g(x)= x+1/x-2 and h(x)= 4-x, what is the value of (g*h) (-3)

Mathematics
1 answer:
polet [3.4K]3 years ago
8 0

Answer:

14/5.

Step-by-step explanation:

(g*h) ( x) =  (x + 1)( 4 - x) / (x - 2)

So (g*h) (-3) =   (4 - -3) (-3 + 1) / (-3-2)

=  7 * -2 / -5

= -14/ -5

= 14/5.

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Step-by-step explanation:

Eliminate answer 4 immediately, because (4)(3) is not 7.

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Look at answer 1:  1x + 21x = 22x, which does not match the middle term of the original polynomial.   Eliminate answer 1.

All quadratics have solutions.  Let's apply the quadratic formula to 3x^2 + 12x + 7:  Here a = 3, b = 12 and c = 7, so that the discriminant b²-4ac is

12²-4(3)(7), or 144 - 84, or 60.  Being positive, this tells us that the given poly has two real, unequal roots:

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x = ----------------- = -------------------  and   x = --------------------

            3                         3                                     3

Normally, if c is a root, then x - c is a factor.

If we try this here, however, the resulting factors do not at all match any of your answer choices.

Don't be offended...but please ensure you have copied this problem down correctly.

                                                           

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