Question

Find the inverse of the function:
f(x)=(5)/(1-3x)

I am not really sure how to do this I have done
y=(5)/(1-3x) and attempted to make x the subject but have had no success. Thanks for any help!

Answer 1

When you try to find the inverse, you switch the place of the x and y in a function, so it would be
x=5/(1-3y)
now isolate y to one side of the equation

Answer 2

Yes I know that but I'm not so sure how to isolate y...
Would it be something like 5/x=1-3y?

Answer 3

x(1-3y)=5
distribute x
x-3xy=5
simplifu
(5-x)=-3xy
(5-x)/(-3x)=y

Answer 4

The answers say its (-5)/((1-3x)^2) x -3
Is this the same as your answer?

Answer 5

f(x)=(5)/(1-3x)
F^-1(x)=> x=5/(1-3y)
x(1-3y)=5
1-3y=5/x
-3y=5/x -1
y=-(5/3x)+1/3
y=(-5+x)/3x
y=(5-x)/(-3x)
@Azureilai is right

Answer 6

Ok thank you