Question

2. Determine a função inversa
3) y = 5X-8
b) y = 2x-3
c) y = x+3
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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)

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