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gulaghasi [49]
3 years ago
10

Find the inverse of f(x) = 2x + 3

Mathematics
1 answer:
liq [111]3 years ago
7 0
Answer:

<span><span><span>f<span>−1</span></span><span>(x)</span></span>=<span><span>x−3</span>2</span></span>

Explanation:

Follow the steps:

<span><span>f<span>(x)</span></span>=2x+3</span>

1- replace <span><span>f<span>(x)</span></span> with y →y=2x+3</span>

2- simply switch <span>x and</span> so the equation looks like <span>x=2y+3</span>

3- use algebra to solve<span> for y</span>. (isolate y)
<span>x=2y+3</span>

<span>x−3=2y</span>

<span><span><span>x−3</span>2</span>=y</span>

This is the inverse function and is written as

<span><span><span>f<span>−1</span></span><span>(x)</span></span>=<span><span><span>x−3</span>2</span></span></span>

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