Question

IF F(X) = 10^X - 15^2 / 10^-X + 15^-X then f inverse of x=

Answer 1

Answer:

Correct option is

B

2

1

​

log  

10

​

(  

1−x

1+x

​

)

Let f(x)=y, then

10  

x

+10  

−x

 

10  

x

−10  

−x

 

​

=y

⇒  

10  

2x

+1

10  

2x

−1

​

=y

⇒10  

2x

=  

1−y

1+y

​

 .... By Componendo and dividendo

⇒x=  

2

1

​

log  

10

​

(  

1−y

1+y

​

)

⇒f  

−1

(y)=  

2

1

​

log  

10

​

(  

1−y

1+y

​

)

∴f  

−1

(x)=  

2

1

​

log  

10

​

(  

1−x

1+x

​

).

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