SOLUTION: Show work please!! Thanks . Use Inverse operations to write the inverse of each function. f(x)=x+6 and f(x)=2x-9

Algebra ->  Functions -> SOLUTION: Show work please!! Thanks . Use Inverse operations to write the inverse of each function. f(x)=x+6 and f(x)=2x-9      Log On


   

Question 1017769: Show work please!! Thanks . Use Inverse operations to write the inverse of each function.
f(x)=x+6
and
f(x)=2x-9
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=x%2B6
recall that f%28x%29=y, so we have
y=x%2B6......to find inverse first swap x and y
x=y%2B6........solve for y
y=x-6
inverse is f%5E-1%28x%29=x-6
+graph%28+600%2C+600%2C+-10%2C+15%2C+-10%2C+10%2C+x%2B6%2C+x-6%29+

and, do same steps here too

f%28x%29=2x-9
y=2x-9...........swap x and y
x=2y-9............solve for y
x%2B9=2y
%28x%2B9%29%2F2=y
y=%281%2F2%29x%2B9%2F2
+graph%28+600%2C+600%2C+-10%2C+15%2C+-10%2C+10%2C+2x-9%2C+%281%2F2%29x%2B9%2F2%29+