Absolutely!

Algebra Level 2

Let f ( x ) = ∣ x + 2 ∣ f(x) = |x+2| and g ( x ) = ∣ x ∣ + 2 g(x) = |x| + 2

Let the minimum value of f ( x ) f(x) be A A and the minimum value of g ( x ) g(x) be B B .

Which is true?

A > B A > B A = B A = B A < B A < B

Denton Young by Denton Young , 47, USA

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Denton Young
Jul 13, 2016

The minimum value of f(x) is 0, at x = -2.

The minimum value of |x| is 0 at x = 0, so the minimum value of g(x) is 2.

Therefore, A = 0, B = 2, and A < B.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Moderator note:

Simple standard approach.

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...