Y= 5x+3 , can anyone tell me how to do this problem?
2006-11-02 09:37:40 · 5 answers · asked by fantfoot25 1 in Science & Mathematics ➔ Mathematics
Y= 5x+3
y-3=5x
(y-3)/5= x
so the inverse function is:
f^{-1}(y)= (y-3)/5
x
2006-11-02 09:53:56 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Basically what you're being asked is for the reflection of the graph of the function about the line y = x. Using this fact, we can switch places with x and y, solve for y, and you'll have your answer.
Y=5x + 3
x = 5y + 3 (switch places with x and y)
x-3 = 5y (solve for y)
(x-3)/5 = y
Voila!
2006-11-02 10:00:54 · answer #2 · answered by Mark D 1 · 0⤊ 0⤋
Y=5x+3
(subtract three from both sides)
Y-3=5x+3-3 which equals Y-3= 5x
(Divide both sides by 5)
(Y-3)/5=(5x)/5 which equals (Y-3)/5=x
and there you go!
2006-11-02 09:57:42 · answer #3 · answered by Nesting 2 · 0⤊ 0⤋
easy flip x with y so now we have
X=5Y+3
x-3=5y
(x-3)/5=y
thats you inverse function
2006-11-02 09:42:14 · answer #4 · answered by zspace101 5 · 0⤊ 1⤋
Swap x and y then solve for y in the new equation.
x = 5y +3
5y = x - 3
y = (1/5)x - 3/5
That's it.
2006-11-02 09:40:37 · answer #5 · answered by just♪wondering 7 · 1⤊ 1⤋