Question

Use the function $f$ and the given function value $f(x) = a$ to find $(f^{-1})'(a)$. (Hint: See Example 1. If an answer does not exist, enter $f(x) = \frac{x + 7}{x - 5}, x > 5, f(11) = 3$

          Use the function $f$ and the given function value $f(x) = a$ to find $(f^{-1})'(a)$. (Hint: See Example 1. If an answer does not exist, enter
$f(x) = \frac{x + 7}{x - 5}, x > 5, f(11) = 3$

Use the function f and the given function value f(x) = a to find (f^-1)'(a). (Hint: See Example 1. If an answer does not exist, enter
f(x) = (x + 7)/(x - 5), x > 5, f(11) = 3

Added by Stephanie G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Mahajan A

02/28/2022

Step 1

To find the inverse function of f(x), we switch the roles of x and f(x) and solve for x: Let y = (x+7)/(x-5) Swap x and y: x = (y+7)/(y-5) Multiply both sides by y-5: x(y-5) = y+7 Expand: xy - 5x = y + 7 Move all terms involving y to one side: xy - y = 5x + Show more…

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Use the function f and the given function value f(x)=a to find (f^(-1))^(')(a). (Hint: See Example 1. If an answer does not exist, ente f(x)=(x+7)/(x-5),x>5,f(11)=3 3.0.011. MY Use the function f and the given function value f(x = a to find (f-1'a.(Hint: See Example 1. If an answer does not exist, ente f(x)=x+7