Answer:
f^(-1)(x) = \frac{-1}{5} (x+4)
Step-by-step explanation:
Given is a function

To find its inverse.
We must check whether f is one to one or onto first
If -5x1-4 = -5x2-4 we get x1=x2
Hence f is one to one
Also for every f(x) we can find a x so f is onto.
So inverse exists
Let

Replace x by f inverse and y by x

Answer:
p(q-1)
Step-by-step explanation:
P is the common factor in both the terms, so remove that to go outside the brackets.
What goes inside the brackets depends on what the quotient is when you divide both terms by p.
Hers,
pq becomes q
p becomes 1
THe negative sign remains there because he divide the is positive. (One positive and one negative make a negative)
Hope this helps
Answer:
The inverse is 1/2x +3
Step-by-step explanation:
f(x) = 2x-6
y = 2x-6
Exchange x and y
x =2y-6
Solve for y
x+6 =2y
Divide by 2
1/2x +3 = y
The inverse is 1/2x +3
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