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3 years ago

Which function is the inverse of f(x) =2x +3

Mathematics

2 answers:

frosja888 [35]3 years ago

5 0

Answer:

-1

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

Step-by-step explanation:

I choose to address this question by actually finding the inverse of f(x) = 2x + 3.

1) replace f(x) with y: y = 2x + 3

2) interchange x and y: x = 2y + 3

3) solve this result for y: 2y = x - 3 , or y = (x - 3)/2. This is the same as the second answer choice. Label this result as

-1

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

lesya692 [45]3 years ago

4 0

F(x)=
$f(x) = 2x + 3$
$let y = 2x + 3$
make y subject of the formula
$x = \frac{y - 3}{2}$
replace y with x above
$f ^{ - 1 } = \frac{x - 3}{2}$

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------------------------

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