## anonymous one year ago Which function below is the inverse of f(x) = The quantity of two x plus three, over five.?

1. anonymous

$\huge f(x)=\frac{ 2x+3 }{ 5 }$

2. anonymous

Step 1: Change f(x) to y. Step 2: Flip x and y. Step 3: Solve for y using the formula y=mx+b.

3. anonymous

Can you try it?

4. anonymous

$$\huge f(x)=\frac{ 2x+3 }{ 5 }$$ Step 1: Change f(x) to y $$\huge y=\frac{ 2x+3 }{ 5 }$$ Step 2: flip x and y $$\huge x=\frac{ 2y+3 }{ 5 }$$ Step 3: Solve for y. Can you solve for y ??? $$\huge x=\frac{ 2y+3 }{ 5 }$$

5. anonymous

Solve for y $$\huge x=\frac{ 2y+3 }{ 5 }$$ Lets get rid of the fraction. Times each side by 5 $$\huge 5 * x=\frac{ 2y+3 }{ 5 } * 5$$ $$\huge 5 x=2y+3$$ Can you solve for y in this equation $$\huge 5 x=2y+3$$ now ? $$\huge 5 x=2y+3$$

6. anonymous

y=(5x-3)/2

7. anonymous

That is correct!!!

8. anonymous

So the inverse is $$\huge f(x)^{-1} = \frac{5x-3}{2}$$