You would have to ask your employer why they didn't withhold state income tax. Your employer should have withheld state income tax for the state in which you were working, unless you claimed exempt. All of your income i (regardless of where earned) s taxable by your resident state. Income is also taxable by the state in which you earned it. If you pay tax to your non-resident state, you will receive a tax credit from your resident state for tax paid to another state. Your income could be below the threshold for either state to owe any income tax.
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