Question

Find the inverse of this equation
f(x)= 3x + 2
Explain the process to me ^__<

Answer 1

1) Swap your f(x) and x around so x=3(f(x))+2
2) Rearrange and solve for f(x)

That's it

Answer 2

To find the inverse of a function
Change"f(x)" to "y"
Switch x and y
Solve for y
The new expression is your inverse.

Answer 3

generally, another way of saying y is f(x) and vice versa
so, put y for f(x)
y = 3x + 2
add (-2) on both sides of the equation
y+(-2) = 3x
divide both sides by 3
(y-2)/3 = x
swap sides
x = (y-2)/3
put f(y)^-1 for x
f(y)^1 = (y-2)/3

Answer 4

if you followed Mr. Feynman's way it works the same
y = 3x + 2
swap x and y
x = 3y + 2
solve for y
add (-2) on both sides
x+(-2) = 3y
divide both sides by 3
(x-2)/3 = y
your inverse function is denoted by the notation f^-1, but this time instead of f^-1(y) we will use x, because we swapped x and y earlier. therefore, the inverse of f(x) is
f^1(x) = (x-2)/3

Answer 5

I would feel honored to be called Mr. Feynman. Lol @nincompoop

Answer 6

laughing out loud

Answer 7

No you aren't

Answer 8

laughing out loud silently ...

Answer 9

You do know who Feynman was right?

Answer 10

I am a huge fan of Richard P. Feynman btw
he authored my first physics book

Answer 11

OH MINE! I'M THE ONLY FEYNMAN FAN I KNOW RIGHT UNTIL THIS MOMENT!!!

Answer 12

a bit verbose, but it's fine because he's making point that there's no absolute and they aren't tangents (linguistics, not geometrical position)

Answer 13

Btw what's the name of your first physics book?