If f(x)=4/x+2 and g is the inverse of f, then g'(10)=

The value of g'(10)=

Step-by-step explanation:

Given function is f(x)=

Take f(x)=y

y=

Subtract 2 from both side.

y-2=

x=

The inverse of f(x) is written as

It is said as g is inverse of f

g(y)=\frac{4}{y-2}[/tex]

g(y)=

g(10)=

g(10)=

Differentiating both sides we get,

g'(y)=

g'(y)=

To find g'(10)=

g'(10)=

or