Question

60 pts!!! HELP Find the inverse of the function f(x)= 4/9 x-4
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Answer 1

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

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