Given the function f(x) = 4(x+3) - 5, solve for the inverse function when x = 3?
-21, -16, -10, -1
Solution:
A function that can reverse into another function is called an anti function or an inverse function.
To find the inverse function:
First interchange x and y
x = 4 (y + 3) - 5
Now solve for y
4 (y + 3) = x + 5
y = (x + 5)/4 - 3 is the inverse function
Evaluate the inverse function when x = 3
y = (3 + 5)/4 - 3
y = 8/4 - 3
y = 2 - 3
y = -1
Therefore, for the function f(x) = 4(x+3) − 5, the inverse function when x = 3 is -1.
Given the function f(x) = 4(x+3) - 5, solve for the inverse function when x = 3?
Summary:
Given the function f(x) = 4(x+3) − 5, the inverse function when x = 3 is -1.
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