Thursday

November 27, 2014

November 27, 2014

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

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 7:44pmfrom 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 7:50pmthank 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 9:32pmBy 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 - flickr.(dotcom)/photos/77304025@N07/6782789880/ Create a function that ...

math/calculus - f(x)= the absolute value of x^2-6x-7 a) Find a piecewise defined...

Piecewise Function - The following questions I dont understand, could you please...

CALCULUS DERIVATIVES CONTINUITY - Let f be the function defined by the piecewise...

mathamatics - on december31, 1995, paul invested $2000 in a stock. his stocker ...

math - For each piecewise function, find the specified function values. g(x)={x+...

college algebra - Could I please have 1 example of a piecewise-defined function ...

Math--Calculus - I'm having a tough time figuring out this problem... S(x) = ...