Answer:
The inverse function can be written as:
g(x) = (x - 7 + √3) / 5
Explanation:
Starting with the equation y = 5x + 7 - √3, we switch the roles of x and y to get x = 5y + 7 - √3.
Next, we isolate y by subtracting 7 and adding √3 to both sides, which gives x - 7 + √3 = 5y.
Finally, we divide both sides by 5 to get g(x) = (x - 7 + √3) / 5.
This is the inverse function g(x) of f(x) = 5x + 7 - √3. The inverse function is useful in solving problems where the original function is not explicitly invertible.