Posted by **Shreya** on Tuesday, January 17, 2012 at 7:14pm.

the absolute value function

g(x) = |5-x| can be written as a piecewise function. the piecewise function which represents g(x) is

this have to be g(x) = x-5 if x be greater to or equal to five. and the negative piece have to be 5-x. does it matter if i write -5+x instead of 5-x?

which of following is root of equation |3x-1| = -5

i get -4/3 for this.

- math-calculus -
**Damon**, Tuesday, January 17, 2012 at 7:44pm
from x = -oo to x = 5

g = -5 + x

from x = 5 to x = oo

g = x - 5

3x-1 = -5

3 x = -4

x = -4/3

- math-calculus -
**Shreya**, Tuesday, January 17, 2012 at 7:50pm
thank you for the 3x-1 = -5 it says in back of book that there are no roots of the equation |3x-1| = -5 and i not see how that be possible.

- math-calculus -
**Reiny**, Tuesday, January 17, 2012 at 9:32pm
By definition

| anything | has to be a positive number or at least zero

so |3x-1\ = -5 would contradict the very definition of absolute value,

So without even showing a single step, we can say that there is no solution.

if you verify your answer of -4/3, ...

LS = |3(-4/3) - 1|

= | -5|

= +5

RS = -5

LS ≠ RS , so .... no solution

## Answer This Question

## Related Questions

- Calculus - flickr.(dotcom)/photos/77304025@N07/6782789880/ Create a function ...
- Math - Create a function that closely gives the graph given in the link. The ...
- math/calculus - f(x)= the absolute value of x^2-6x-7 a) Find a piecewise defined...
- Math - flickr.(dotcom)/photos/77304025@N07/6782789880/ Create a function that ...
- CALCULUS DERIVATIVES CONTINUITY - Let f be the function defined by the piecewise...
- Calculus - Piecewise function problem. Let f(x)={ax^2+1/3, x is greater than or ...
- Piecewise Function - The following questions I don't understand, could you ...
- Math - Can someone please help me with piecewise functions. I know what they are...
- pre-calculus 11 - I have the question y=-|x^2 -9| I am asked for the piecewise ...
- pre-calculus 11 - I have the question y=-|x^2 -9| I am asked for the piecewise ...

More Related Questions