Question

Consider y =f(x)=-3x+2 . Using space below, determine the equation that represents the inverse f(x)

Answer 1

Answer:
`f^(-1)(\text{x}) = \frac{2-\text{x}}{3}`

Explanation:

Swap x and y, then solve for y to get the inverse.

`f(\text{x}) = -3\text{x}+2\\\\\text{y} = -3\text{x}+2\\\\\text{x} = -3\text{y}+2\\\\\text{x}-2 = -3\text{y}\\\\\text{y} = \frac{\text{x}-2}{-3}\\\\\text{y} = \frac{2-\text{x}}{3}\\\\f^(-1)(\text{x}) = \frac{2-\text{x}}{3}\\\\`