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Gnesinka [82]
3 years ago
13

What is the inverse operation of F(x)=2x+3

Mathematics
2 answers:
Margarita [4]3 years ago
7 0

Answer:

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

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject

y = 2x + 3 ( subtract 3 from both sides )

y - 3 = 2x ( divide both sides by 2 )

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

Change y back into terms of x, hence

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

Korolek [52]3 years ago
5 0

Keep in mind that f(x) means the same thing as y so...

y = 2x + 3

To find the inverse operation you switch the places of x and y like so...

x = 2y + 3

Now you must solve for y. To start off you must subtract 3 to both sides.

x - 3 = 2y + 3 - 3

x - 3 = 2y

Now divide 2 to both sides to completely isolate y

(x - 3) / 2 = 2y / 2

\frac{1}{2} x - \frac{3}{2} = y

OR

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

Hope this helped!

~Just a girl in love with Shawn Mendes

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Answer:

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Step-by-step explanation:

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