​If f(x)= frac{3}{4x^{3}}+2x−1 then the value of (f−1)′(x)(f^{−1})′(x) when x=9 (a)frac{1}{7} (b)frac{1}{9} (c)frac{1}{11} (d)frac{1}{13}

nicekikah

nicekikah

Answered question

2021-02-08

​If f(x)=34x3+2x1 then the value of (f1)(x)(f1)(x) when x=9
(a)17
(b)19
(c)111
(d)113

Answer & Explanation

diskusje5

diskusje5

Skilled2021-02-09Added 82 answers

Here we are using the following derivative rule: f1(a)=1(f(f1(a))(f(f1(a)) where a=9. A couple of things to first look out for is the following: When f(b)=34b3+2b1=9, we have that f1(9)=b. So we must solve for the value ofb. Doing so, you will see that b=2. Then, f(2)=94×22+2=11. So our equation will then look as follows: f1(9)=1f(f1(9))=1f(2)=111

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?