SOLUTION: f(x)=-9x/4 +7 Need the algebraically inverse function

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Question 230847: f(x)=-9x/4 +7 Need the algebraically inverse function
Answer by likaaka(51) About Me  (Show Source):
You can put this solution on YOUR website!
To find the inverse, begin by changing f(x) to y
f(x)=(-9x/4) + 7
y = (-9x/4) + 7
Now, solve for x
y = (-9x/4) + 7
y - 7 = (-9x/4) + 7 - 7, subtract 7 from both sides
y - 7 = -9x/4
4(y - 7) = 4(-9x/4), multiply both sides by 4
4y - 28 = -9x
(4y - 28)/(-9) = (-9x)/(-9), divide both sides by -9
(4y - 28)/(-9) = x
Now change x to y and y to x
(4x - 28)/(-9) = y, this is the inverse function
Inverse functions are usually written as f^-1(x)
+f%5E-1%28x%29+=+%284x+-+28%29%2F%28-9%29+