Question

Find the inverse of the function f (x) = -8x + 9

Answer 1

Answer:

$y=\frac{x-9}{-8}$

Step-by-step explanation:

1. change f(x) to y

2. switch x and y

$x= -8y+9$

3. solve for y

$x-9=-8y$

$y= \frac{x-9}{-8}$

Answer 2

Answer: y = (9-x) / 8

Step-by-step explanation:

set f(x) = y

y = -8x + 9

to find inverse repalce all y values with x and x values with y then solve for y again

x = -8y + 9

x - 9 = -8y

y = (x-9) / -8

distribute -1 through the numerator and make 8 positive

y = -x+9/8

y = (9-x)/8