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)?

enter your valueHere,

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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