SOLUTION: find a formula for f-1(x). give the domain of f-1, including any restrictioons "inherited" from f. f(x)=2x+5

Algebra ->  Functions -> SOLUTION: find a formula for f-1(x). give the domain of f-1, including any restrictioons "inherited" from f. f(x)=2x+5       Log On


   

Question 348440: find a formula for f-1(x). give the domain of f-1, including any restrictioons "inherited" from f.
f(x)=2x+5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=2x%2B5
Interchange x and y and solve for new y.
highlight%28x%29=2%2Ahighlight%28y%29%2B5
x-5=2y
y=%281%2F2%29%28x-5%29
f%5E%28-1%29%28x%29=%281%2F2%29%28x-5%29
There are no restrictions on f%28x%29 and no restrictions on f%5E%28-1%29%28x%29