Abstract
In this study, we apply the ultra-slow-roll condition to a model containing mixed terms in the background of f(R,ϕ,X) gravity. After the field equations are setting according to the model considered, the slow-roll indices of the inflation field are calculated. It is observed that the ultra-slow-roll inflation field comes to the fore for this case where the phenomenological mixed term is dominant. The inflation observables (the spectral index parameter and the tensor-to-scalar ratio) that occur in the background of gravity in the high-energy era of the universe are calculated, and we determine that the results are in agreement with Planck 2018 data.
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