Question

Find inverse of f(x)=4x

Answer 1

Answer: " f ⁻¹ (x) =
`(x)/(4)` " .
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Step-by-step explanation:
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"Find the inverse of " f(x) = 4x " .

1) Let " f(x) = y = 4x " ;

2) Interchange the "y" and the x" :

→ x = 4y ;
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3) Isolate "y" on one side of the equation:

x = 4y ;

↔ 4y = x ;

Divide each side of the equation by "4" ;
to isolate "y" on each side of the equation:

→ 4y / 4 = x / 4 ;

→ y = x / 4 ;
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Now, change the " y" to: " f ⁻¹ (x) " ; and rewrite:
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→ " f ⁻¹ (x) =
`(x)/(4)` " .
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This is our answer. Note that the "f ⁻¹ (x) " denotes the "inverse function".
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