Answer:
- f⁻¹(x) = 2x - 8
- f⁻¹(4) = 0
Explanation:
You can find an inverse function by interchanging x and y, then solving for y.
Original function:
y = (1/2)x +4
With x and y interchanged:
x = (1/2)y +4
Subtracting 4 gives ...
x -4 = 1/2y
Multiplying by 2 gives ...
2x -8 = y
Then the inverse function is written ...
f⁻¹(x) = 2x - 8
Evaluating this for x=4, we get ...
f⁻¹(4) = 2·4 -8 = 0
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