Question

If f(x) = x^-x-6, then (3) - f (1) =​

Answer 1

Here take y=f(x)

Then y=2x−6

⇒2x=y+6

⇒x=

2

y

​

+3

Now switch x and y in the resulting equation. The resulting function of x is the inverse.

⇒y=

2

x

​

+3

Thus the inverse function is f

−1

(x)=

2

x

​

+3.

Answer 2

Answer:

⇒

 inverse exists 

y=

 

f(x)=

 

−2x+

 

6

⇒−2x=y−6

⇒

 

x=

 

2

−1

(y−

 

6)

x=−y/2+3

⇒f−1

2

−x

+3