SOLUTION: Show that the given function is one-to-one and find its inverse. Check answers algebraically and graphically. Verify that the range of f is the domain of f^−1 and vice-versa.

Algebra ->  Equations -> SOLUTION: Show that the given function is one-to-one and find its inverse. Check answers algebraically and graphically. Verify that the range of f is the domain of f^−1 and vice-versa.       Log On


   

Question 1135593: Show that the given function is one-to-one and find its inverse. Check
answers algebraically and graphically. Verify that the range of f is the domain of f^−1 and vice-versa.
f(x) = 1 − 4+3x/5
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
assume this is 1-((4+3x)/5). If it is not, please resubmit with parentheses clarifying.
Meets horizontal and vertical straight line tests so 1:1 with domain and range all real numbers.
x=1-((4+3y)/5)
5x=5-4-3y
3y=-5x+1
y=(-5/3)x+(1/3) inverse
domain and range also all real numbers