Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

MathematicsInverse Trigonometric FunctionsGeneral ( General, Domain, Range & Graph)Medium2 minQB

MathematicsMediumsingle choice

If the domain of f(x)= $cos^{- 1} (x^{3} /2) + sin^{- 1} (l o g_{2} (x + 1))$ is [a,b], find a+2b.

Answer:

Solution:

The radical requires 0≤log₂(x+1)≤1, hence 0≤x≤1. This already meets the $cos^{- 1} d o main ∣ x^{3} /2∣ \leq 1$ , so [a,b]=[0,1], yielding 2.

Stream:JEESubject:MathematicsTopic:Inverse Trigonometric FunctionsSubtopic:General ( General, Domain, Range & Graph)

⏱ 2mℹ️ Source: QB

Loading discussions...