Question

Find the inverse for the linear function 2) f(x) = -2x+3​

Answer 1

Answer:

${f}^{ - 1} ( x) = - \frac{x - 3}{2}$

Step-by-step explanation:

$f(x) = - 2x + 3$

To find the inverse of f(x) , equate f(x) to y

That's

y = f(x)

$y = - 2x + 3$

Next interchange the terms that's x becomes y and y becomes x

That's

$x = - 2y + 3$

Solve for y

Move 3 to the other side of the equation

That's

$- 2y = x - 3$

Divide both sides by - 2

$\frac{ - 2y}{ - 2} = \frac{x - 3}{ - 2}$

We have the final answer as

${f}^{ - 1} ( x) = - \frac{x - 3}{2}$

Hope this helps you