If f : ( 0 , ∞ ) → R defined by f ( x ) = lo g 10 x then f − 1 ( x ) =

f − 1 ( x ) = y ⇒ x = f ( y ) ⇒ x = lo g 10 y ⇒ y = 1 0 x ⇒ f − 1 ( x ) = 1 0 x

Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsInverseEasy2 minQB

MathematicsEasysingle choice

If $f : (0, \infty) \to R$ defined by $f (x) = lo g_{10}^{x}$ then $f^{- 1} (x) =$

Answer:

Solution:

$f^{- 1} (x) = y \Rightarrow x = f (y) \Rightarrow x = lo g_{10}^{y} \Rightarrow y = 1 0^{x} \Rightarrow f^{- 1} (x) = 1 0^{x}$

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Inverse

⏱ 2mℹ️ Source: QB

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