Relations and Functions

Mathematics (NDA)

Title

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Indian Economy - Understanding the basics of Indian economic system

If f(x) = 4x+x⁴ / 1+4x³ and g(x) = ln ( 1+x / 1−x ), then what is the value of fog ( e-1 / e+1 ) equal to?

1/2

fog( e−1 / e+1 ) = f [g ( e−1 / e+1 )] = f [ln ( 1+ e−1/e+1 / 1− e−1/ e+1 )]

= f [ln ( e+1+e−1 / e+1−e+1 )]

= f [ln ( 2e / 2 )]= f(1)=4+1 / 1+4 = 1