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Tasya [4]
3 years ago
14

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

Mathematics
1 answer:
QveST [7]3 years ago
7 0

Answer:

<h2>{f}^{ - 1} ( x) =  -  \frac{x - 3}{2}</h2>

Step-by-step explanation:

f(x) = - 2x + 3

<u>To find the inverse of f(x) , equate f(x) to y </u>

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

<u>Solve for y </u>

Move 3 to the other side of the equation

That's

- 2y = x - 3

<u>Divide both sides by - 2</u>

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

We have the final answer as

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

Hope this helps you

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