SOLUTION: Hi! I cant get the right answer for this problem. Can you help? Find the inverse function of f. f(x)=( x

SOLUTION: Hi! I cant get the right answer for this problem. Can you help? Find the inverse function of f. f(x)=( x - 7)/(4 x + 8) thanks for your help!

Question 198369: Hi!
I cant get the right answer for this problem. Can you help?
Find the inverse function of f.
f(x)=( x - 7)/(4 x + 8)
thanks for your help!
Found 2 solutions by jim_thompson5910, arallie:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given function.

Replace f(x) with y

Switch each x with y (and vice versa). The goal now is to solve for y

Multiply both sides by .

Distribute

Subtract 8x from both sides.

Subtract y from both sides.

Rearrange the terms.

Factor out the GCF 'y'

Divide both sides by .

So the inverse is
Answer by arallie(162) (Show Source): You can put this solution on YOUR website!

=?

Invert

Solve for y

So
If
Then
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