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# The functions f and g are defined by f (x) = |2x +1| and g(

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The functions f and g are defined by f (x) = |2x +1| and g( [#permalink]  11 Dec 2017, 10:34
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The functions f and g are defined by f (x) = |2x +1| and g(x)=3 for all numbers x. What is the least value of c for which f (c) = g (c)?

[Reveal] Spoiler: OA
$$-2$$

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Re: The functions f and g are defined by f (x) = |2x +1| and g( [#permalink]  12 Dec 2017, 04:52
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Carcass wrote:
The functions f and g are defined by f (x) = |2x +1| and g(x)=3 for all numbers x. What is the least value of c for which f (c) = g (c)?

[Reveal] Spoiler: OA
OA in 24h

Here,

we need to find the least value of c

therefore

|2x +1| = 3

or 2x +1 = 3

or x = 1

therefore when c= 1 we have f (c) = g (c)

However we can also write as

|2x +1| = 3

or 2x + 1 = -3

or x = -2

therefore when c= -2 we have f (c) = g (c).

Hence the least value is = -2
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Re: The functions f and g are defined by f (x) = |2x +1| and g(   [#permalink] 12 Dec 2017, 04:52
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