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.

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) (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
RELATED QUESTIONS
Show that the given function is one-to-one and find its inverse. Check your answers... (answered by CubeyThePenguin)

I could use some help on this problem, anything is helpful! f(x) = 6x − 2... (answered by Boreal)

show that the given function is one-to-one and find its inverse. Check your answers... (answered by MathLover1,greenestamps)

The function f(x)=2x/3x-5 is one-to-one. find its inverse and check your answer (answered by tommyt3rd)

Let f(x) = (x-2)^3+8 a. Show that this function is one-to-one algebraically. b. Find... (answered by htmentor)

The following function is one-to-one: 𝑓𝑥 = 3𝑥+4/2𝑥... (answered by LynnMomo)

The directions of the problem is "solve,then check algebraically and graphically." The... (answered by stanbon)

The function {{{ f(x)= (4x+7)/(9x-5) }}} is one to one. Find its inverse and check your (answered by ankor@dixie-net.com)

Analytically show that the function f(x)=10-∛(x-8) is one-to-one, find its... (answered by jim_thompson5910)