Question

Function f is one-to-one. find it's inverse and check your answer. I did that and got to 4y=2-x, then I don't know what to do next

Answer 1

whats your original function ?

Answer 2

f(X)=4x+2

Answer 3

replace f(x) by y :
\[y = 4x+2\]

Answer 4

Then switch the x and y

Answer 5

yes
\[x = 4y+2\]

Answer 6

then solve y !

Answer 7

thats it

Answer 8

Do I divide the four by the 4y, 2, and x?

Answer 9

\[x = 4y+2\]
you need to isolate \(y\), first you subtract \(2\) both sides

\[x-2 = 4y\]

Answer 10

then dividing 4 both sides isolates the y completely :

\[\dfrac{x-2}{4} = y\]

Answer 11

which is same as writing

\[y = \dfrac{x-2}{4} \]

Answer 12

thats the inverse function ^

Answer 13

Thank you