If f(x)=4/x+2 and g is the inverse of f,then g'(10)=
1 answer:
Answer:
g'(10) =
Explanation:
Since g is the inverse of f ,
We can write
g(f(x)) = x <em> </em><em>(Identity)</em>
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) = -
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Explanation:
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Explanation:
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Please kindly check attachment for the step by step solution of the given problem.
