Question

Place the steps for finding f -1(x) f(x)=2x+5

Answer 1

Answer:

$f^{-1}(x) = \frac{x-5}{2}$

Step-by-step explanation:

$f(x) = 2x+5$

Step 1) Replace y = f(x)

$y = 2x+5$

Step 2) Exchange x and y

$x =2y+5$

Step 3) Solve for y

$x =2y+5$

Subtracting both sides by -5

$x - 5= 2y$

$2y = x-5$

Dividing both sides by 2

$y = \frac{x-5}{2}$

Step 4) Replace $y = f^{-1}(x)$

$f^{-1}(x) = \frac{x-5}{2}$