Problem Solving (PS) | The functions f and g are defined by f(x) = |2x +1| and g(x) = 3 for a

Given that\( f(x) = |2x +1|\) and\( g(x) =3\) and we need to find the least value of\(c\) for which f(c) =g(c)

To find f(c) we need to replace x with c in f(x)
=> f(c) = |2c + 1|

g(c) will be 3 as g(x) does not depend on x

f(c) = g(c)
=> |2c + 1| = 3
=> 2c + 1 = 3, or 2c+1 = -3[ Watch this video to know how to work with Absolute Value/Modulusproblems ]
=> 2c = 2 or 2c =-4
=> c = 1 or -2

Since we need to find the least value, so c = -2

So, Answer will beB
Hope ithelps!


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