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Pavlova-9 [17]
3 years ago
10

60 pts!!! HELP Find the inverse of the function f(x)= 4/9 x-4 show work

Mathematics
1 answer:
earnstyle [38]3 years ago
6 0

Answer:

Inverse Function: f^-1(x) = 9/4x + 9

Step-by-step explanation:

To find  the inverse function we can interchange the position of the variables x and y, and then solve for y;

y = 4/9x - 4 => x = 4/9y - 4,

x = 4/9y - 4,

4/9y = x + 4,

y = 9/4x + 9/4(4),

y = 9/4x + 9/ f^-1(x) = 9/4x + 9

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