Answer:
f⁻¹(x) =
Explanation:
Given function,
→ f(x) = 5x - 6
We are supposed to find ths inverse of the given function. Consider the function, y = f(x).
→ y = 5x - 6
Add 6 to both sides.
→ y + 6 = 5x - 6 + 6
Solve the equation.
→ y + 6 = 5x
Division both sides by 5.
→ y + 6/5 = 5x/5
Solve the equation.
→ (y + 6)/5 = x
Can be re-written as,
→ x = (y + 6)/5
Now, recall f(x) = y, this implies x = f⁻¹(y).
→ f⁻¹(y) = (y + 6)/5
So the final answer is:
→ f⁻¹(x) = (x + 6)/5