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September 2, 2014

September 2, 2014

Posted by **Diane** on Wednesday, January 15, 2014 at 2:33am.

2. Give an example of two functions that satisfy the following conditions:

- one has 2 zeros

- one has no zeros

- the sum of the functions has 1 zero

Show that your functions satisfy the conditions.

- advanced functions/precalculus -
**Steve**, Wednesday, January 15, 2014 at 6:30amg(x) = x^7

h(x) = 2x+3

g(x) = (2x+1)^7

h(x) = x+1

f(x) = x^2-1

g(x) = x^2+1

(f+g)(x) = 2x^2 (one unique zero, repeated)

f(x) = 3x+x^2

g(x) = 2-x^2

(f+g)(x) = 3x+2 (only a single zero)

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