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

g'(10) =

Explanation:

Since g is the inverse of f ,

We can write

g(f(x)) = x     (Identity)

Differentiating both sides of the equation we get,

g'(f(x)).f'(x) = 1

g'(10) =    --equation[1]    Where f(x) = 10

Now, we have to find x when f(x) = 10

Thus 10 = + 2

= 8

x =

Since f(x) = + 2

f'(x) = -

f'()  =  -4 × 4 = -16            

Putting it in equation 1, we get:

We get g'(10) = -

d is the correct answer

the entire statement is true and correct.  

there's no diagram, nothing is illustrated, and no question is asked.