That type of fig loves heat, but also humidity. It's definitely not a desert plant. Have you tried spraying the leaves directly with water? It actually doesn't look like it is dying - leaves have good color and at least one is shiny. But I'll bet it will look better if you increase the humidity around it. Tropical plants transpire a lot of moisture through the leaves, and that plant for sure did not grow to where it is in a desert atmosphere. Greenhouses - and tropical climates - grow lovely plants because they are very humid.
Keep it in the kitchen or, the best place is the bathroom where there is more water in the air, but ONLY if you have a window with good direct light. Otherwise you'll need to help the plant with humidity - a metal or plastic tray of water with pebbles in it, that the pot then sits on top of is the best way to humidify a small area for a plant - probably your other house plants will do better there as well. Group the plants together, and they will help keep their surroundings more humid. When we get some dry times here, in the winter I hang wet towels on chair backs around my plants to help humidify their surroundings.
Here in FL those fiddle leaf figs grow into 20ft. tall trees, so this is not a house plant that you should expect to grow very fast. It also needs lots of good light. Be careful of overwatering it while it is still recovering from its shipping experience. Be sure the pot you have it in is draining well. The soil should be slightly moist at most, and water sitting in the bottom of the pot, or in a saucer is not good.
