Question

Given the function f(x) = 5(x+4) − 6, solve for the inverse function when x = 19. (1 point) 1 68 72 84

Answer 1

x = 19, y = 1

Explanation:

f(x) = 5(x + 4) - 6

y = 5(x + 4) - 6

inverse function:

switch x and y

x = 5(y + 4) - 6

solve for y

x = 5y + 20 - 6

x = 5y + 14

x - 5y = 14

-5y = -x + 14

y = (-x + 14)/-5

y = 1/5x - 2.8

plug 19 in for x

y = 1/5(19) - 2.8

y = 3.8 - 2.8

y = 1