Question

Preciso urgente!

2. Determine a função inversa
a) y = 5x -8

b) y = 2x-3

c) y = x+3
4x-8​

Answer 1

a)

$y = 5x - 8 \\ x = 5y - 8 \\ - 5y = - x - 8 \\ 5y = x + 8 \\ {y}^{ - 1} = \frac{x + 8}{5}$

b)

$y = 2x - 3 \\ x = 2y - 3 \\ - 2y = - x - 3 \\ 2y = x + 3 \\ {y}^{ - 1} = \frac{x + 3}{2}$

c)

$y = x + 3 \\ x = y + 3 \\ - y = - x + 3 \\ {y}^{ - 1} = x - 3$

d)

$y = 4x - 8 \\ x = 4y - 8 \\ - 4y = - x - 8 \\ 4y = x + 8 \\ {y}^{ - 1} = \frac{x + 8}{4}$