Question

is y-2 and -2y the same thing?

Answer 1

if you meant to say y(-2) and -2y, then they are the same

y(-2) means y times -2
-2y means -2 times y

you can multiply two numbers in any order which is why y(-2) = -2y

Answer 2

however, y-2 is not the same as -2y

Answer 3

i have to find the inverse of the function f(x) = 5x+2

Answer 4

f(x) = 5x+2

y = 5x+2 ... replace f(x) with y

x = 5y + 2 ... swap x and y

now solve for y

Answer 5

this is what i did but apparently is wrong...
f(x) = 5x+2
y = 5x + 2
y-2 = 5x
x = (y-2) / 5
x = (2-y) / 5
y = (2-x)/5
f^-1(x) = 2-x/5

Answer 6

no they are not

Answer 7

they are not wrong?

Answer 8

nope they're different

Answer 9

y-2 is not the same as y-2

Answer 10

then how exactly do i do this? i'm not sure how to find the inverse of that equation

Answer 11

when you got to x = (y-2) / 5, you did it correctly

once you got to x = (2-y) / 5, you made your first mistake

Answer 12

I would stop at x = (y-2) / 5 and call the inverse

\[\Large f^{-1}(x) = \frac{x-2}{5}\]

Answer 13

oh i see what i did wrong!! thank you for the help!