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Answer:
[tex]-5x-5[/tex]
Step-by-step explanation:
original functions:
[tex]f(x)=3x-8\\g(x)=8x-3[/tex]
Subtract the polynomials:
[tex]f(x)-g(x) = (3x-8) - (8x-3)[/tex]
Distribute the negative sign:
[tex]3x-8-8x+3[/tex]
Combine like terms:
[tex](3x-8x)+(-8+3)[/tex]
Add like terms:
[tex]-5x-5[/tex]