Question

question 1
find (f^(-1))(-2) for f(x)=5x + 3. round your answer to two decimals.
-3.907
questions
question 1
question 2
question 3
time elapsed: hide time
attempt due: sep 23 at 11:59pm
4 minutes, 45 seconds

Explanation:

Step1: Find the inverse function

Let $y = 5x + 3$, solve for $x$:
$y-3=5x$, then $x=\frac{y - 3}{5}$, so $f^{-1}(x)=\frac{x - 3}{5}$.

Step2: Differentiate the inverse function

The derivative of $f^{-1}(x)$ is $(f^{-1})'(x)=\frac{1}{5}$.

Step3: Evaluate the derivative at $x = - 2$

Since $(f^{-1})'(x)$ is a constant function, $(f^{-1})'(-2)=\frac{1}{5}=0.20$.

Answer:

$0.20$