What's the truth?

Algebra Level 2

True or False?

\quad If f ( x ) = ( x ) 2 f(x) = (\sqrt{x}) ^2 and g ( x ) = x g(x) = x , then f ( x ) = g ( x ) f(x) = g(x) .

False True

Vishal Yadav by Vishal Yadav , 20, India

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

Vishal Yadav
Feb 7, 2017

False.

As f(x) and g(x) have different domain.

Domain: f ( x ) , x ≥ 0 f(x), x \geq 0 and g ( x ) , x = a n y r e a l n u m b e r g(x), x = any real number .

3 Helpful 0 Interesting 0 Brilliant 0 Confused

We can even point out that f ( x ) = ( x ) 2 = ∣ x ∣ f(x) = (\sqrt{x})^2 = |x| , which has a different range than g ( x ) = x g(x) = x - namely, that the range of f ( x ) f(x) is only positive numbers, while that of g ( x ) g(x) is all real numbers.

Zach Abueg - 4 years, 4 months ago

Log in to reply

That's not true. x 2 \sqrt{x^2} = \modx \modx

Vishal Yadav - 4 years, 4 months ago

Log in to reply

Ah yes, sorry for the misunderstanding.

Zach Abueg - 4 years, 4 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...