Please help. Will mark Brainliest.

Write |3x-5|-|5x+1| as a piecewise function

f(x) = 2x + 6, x < - 1/5

        -8x + 4, -1/5 ≤ x ≤ 5/3

        -2x - 6, x>5/3

Step-by-step explanation:

3x-5 ≥ 0, 5x + 1 ≥ 0

3x ≥ 5, 5x ≥ -1

x ≥ 5/3, x ≥ -1/5

Intervals: x < -1/5, -1/5 ≤ x ≤ 5/3, x>5/3

Equations:

-(3x - 5) + (5x + 1) = -3x + 5 + 5x + 1 = 2x + 6

-(3x - 5) -(5x + 1) = -3x + 5 - 5x - 1 = -8x + 4

3x - 5 -(5x + 1) = 3x - 5 - 5x - 1 = -2x - 6

Piecewise Function:

f(x) = 2x + 6, x < - 1/5

        -8x + 4, -1/5 ≤ x ≤ 5/3

        -2x - 6, x>5/3

Here is your graph (and the piecewise functions to the right):

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step-by-step explanation:

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