Question

find the inverse function
f(x)= 4-x over 2x+3

Answer 1

y = (4-x)/(2x+3) we want to solve for x
y(2x+3) = 4-x
2xy+3y = 4-x
2xy+x = 4-3y
x(2y+1) = 4-3y
x = (4-3y)/(2y+1) now switch the x and y
y = (4-3x)/(2x+1)

Answer 2

so the inverse is f^(-1)(x) = (4-3x)/(2x+1)

Answer 3

make sense?

Answer 4

@glares25 ? i see you bumped the question but i have answered it for you. is there anything you dont understand?

Answer 5

no i think your right , i just confused with my own answer
thank you so much

Answer 6

let me know if anythng does not make sense. or yif you want to show me what you did we can see whats going on there.

Answer 7

thank you, my answer is -4 - x / 2x-3 but i think its nonsense

Answer 8

can you show me the steps you took to get there?

Answer 9

it seems to close to be nonsense prob a small error.

Answer 10

will you explain me x(2y+1) = 4-3y, i dont know how u get the 1 there. thank you

Answer 11

ok the line before that was
2xy+x = 4-3y
so I factored out an x on the left hand side and get
x(2y+1) = 4-3y

Answer 12

a(b+c) = ab+ac

Answer 13

ahhh ok thank you

Answer 14

np