mathcalculus
posted by Shreya .
the absolute value function
g(x) = 5x can be written as a piecewise function. the piecewise function which represents g(x) is
this have to be g(x) = x5 if x be greater to or equal to five. and the negative piece have to be 5x. does it matter if i write 5+x instead of 5x?
which of following is root of equation 3x1 = 5
i get 4/3 for this.

from x = oo to x = 5
g = 5 + x
from x = 5 to x = oo
g = x  5
3x1 = 5
3 x = 4
x = 4/3 
thank you for the 3x1 = 5 it says in back of book that there are no roots of the equation 3x1 = 5 and i not see how that be possible.

By definition
 anything  has to be a positive number or at least zero
so 3x1\ = 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
Respond to this Question
Similar Questions

Piecewise Function
The following questions I don't understand, could you please help me? 
math/calculus
f(x)= the absolute value of x^26x7 a) Find a piecewise defined function that has no absolute value involved b) Let g(x)=f(x) for x is greater than or equal to 7 find an expression of g^1(x) c. give the domain and range of g^1(x) 
Calculus
flickr.(dotcom)/photos/77304025@N07/6782789880/ Create a function that closely gives the graph given below. The function may be a piecewise function but it does not necessarily have to be a piecewise function. a. Give a brief narrative … 
Math
flickr.(dotcom)/photos/77304025@N07/6782789880/ Create a function that closely gives the graph given below. The function may be a piecewise function but it does not necessarily have to be a piecewise function. a. Give a brief narrative … 
Math
Create a function that closely gives the graph given in the link. The function may be a piecewise function but it does not necessarily have to be a piecewise function. a. Give a brief narrative explaining what you did to create your … 
CALCULUS DERIVATIVES CONTINUITY
Let f be the function defined by the piecewise function: f(x) = x^3 for x less than or equal to 0 x for x greater than 0 Which of the following is true? 
Calculus
Piecewise function problem. Let f(x)={ax^2+1/3, x is greater than or equal to 1; bx10/3, x<1. If the function is differentiable, find the sum of a+b. 
Math
Can someone please help me with piecewise functions. I know what they are but when it gets to advanced i have ttrouble. s(x)= /x2/ + /x3/ + /x+1/ (/ / = 'modulus') Write as a piecewise defined function. Have no idea tbh. Thanks 
precalculus 11
I have the question y=x^2 9 I am asked for the piecewise function. I have written y={x^2 +9 if x less than equal to 3} { x^2 9 if x is greater than equal to 3} I am wondering if I have my are signs backwards.My reasons for choosing … 
precalculus 11
I have the question y=x^2 9 I am asked for the piecewise function. I have written y={x^2 +9 if x less than equal to 3} { x^2 9 if x is greater than equal to 3} I am wondering if I have my are signs backwards.My reasons for choosing …