SOLUTION: find f^-1(x). state any restrictions on the domain of f^-1(x) 37.) f(x) = 3x - 7 39.) f(x) = -3x + 11

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: find f^-1(x). state any restrictions on the domain of f^-1(x) 37.) f(x) = 3x - 7 39.) f(x) = -3x + 11      Log On


   

Question 1051243: find f^-1(x). state any restrictions on the domain of f^-1(x)
37.) f(x) = 3x - 7
39.) f(x) = -3x + 11
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

37.)
+f%28x%29+=+3x+-+7.....find f%5E-1%28x%29
recall +f%28x%29+=+y
+y+=+3x+-+7............swap x and y
+x+=+3y+-+7.........solve for y
+x%2B7+=+3y+
+x%2F3%2B7%2F3+=+y+
+y=%281%2F3%29x%2B7%2F3+
which is f%5E-1%28x%29=%281%2F3%29x%2B7%2F3+
domain: R (all real numbers)

39.)
f%28x%29+=+-3x+%2B+11
y+=+-3x+%2B+11
x+=+-3y+%2B+11
3y+=+-x+%2B+11
y+=+-%281%2F3%29x+%2B+11%2F3
f%5E-1%28x%29+=+-%281%2F3%29x+%2B+11%2F3
domain: R (all real numbers)