Simple?

Algebra Level 2

Let y = f ( x ) = 2 x − 1 y = f(x) = 2x - 1 and let g ( y ) = ∣ y ∣ + 1 g(y) = |y| + 1 .

If x x and y y are real numbers, for what value of x x is g ( y ) = 0 g(y) = 0 ?

There is no such value 1/2 1 0

Denton Young by Denton Young , 47, USA

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1 solution

Denton Young
Mar 20, 2016

|y| is always non-negative, by the definition of absolute value. So the minimum value g(y) can take is when |y| = 0. So g(y) cannot be less than 1.

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Moderator note:

Simple standard approach.

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