With f , g , h as in Q14, the largest interval making g ∘ f invertible is [ a , ∞ ) and the minimum of h ∘ f is b . Find sin − 1 ( 8/ b ) + cos − 1 ( − a 3 / b ) + tan − 1 ( − 32/ ( ab )) .

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MathematicsFunctionsCompositeHard3 minQB

MathematicsHardsingle choice

With $f, g, h$ as in Q14, the largest interval making $g \circ f$ invertible is $[a, \infty)$ and the minimum of $h \circ f$ is $b$ . Find $sin^{- 1} (8/ b) +$ $cos^{- 1} (- a^{3} / b) + tan^{- 1} (- 32/ (ab))$ .

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Answer:

Solution:

$a = 2, b = - 16$ ; substitution gives $5 π /12$ .

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Composite

⏱ 3mℹ️ Source: QB

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