SOLUTION: Write the inverse function for the function, ƒ(x) = 1/2 x + 4. Then, find the value of ƒ^-1 (4). f^-1(x) = f^-1(4) =

Algebra ->  Functions -> SOLUTION: Write the inverse function for the function, ƒ(x) = 1/2 x + 4. Then, find the value of ƒ^-1 (4). f^-1(x) = f^-1(4) =       Log On


   

Question 1133283: Write the inverse function for the function, ƒ(x) = 1/2 x + 4. Then, find the value of ƒ^-1 (4).
f^-1(x) =
f^-1(4) =
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29+=+%281%2F2%29x+%2B+4
find the value of f%5E-1%284%29
replace f%28x%29 with y
y=+%281%2F2%29+x+%2B+4.......swap x and y

x=+%281%2F2%29+y+%2B+4.......solve for y
x-4=+%281%2F2%29+y+
%28x-4%29%2F%281%2F2%29+=y+
y=2%28x-4%29++
y=2x-8++
f%5E-1%28x%29+=+2x-8++


f%5E-1%284%29+=+2%2A4-8++
f%5E-1%284%29+=+8-8++
f%5E-1%284%29+=+0++