SOLUTION: For the function f (x) = 7x + 9, determine whether f (x) is one-to-one. If so, find the formula for the inverse and give the domain and range for f -1.

Question 464355: For the function f (x) = 7x + 9, determine whether f (x) is one-to-one. If so, find the formula for the inverse and give the domain and range for f -1.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
For the function f (x) = 7x + 9, determine whether f (x) is one-to-one. If so, find the formula for the inverse and give the domain and range for f -1.
...
f (x) = 7x + 9
By definition f(x) is one-to-one because for each x there is only one y-value. You can also see this if you note that the function is a straight line.
..
To find its inverse, interchange x and y, then solve for y.
x=7y+9
7y=x-9
y=(x-9)/7=f-1
Domain: all real numbers (-∞,∞)
Range:also, all real numbers (-∞,∞)
note that this inverse is also a straight line
RELATED QUESTIONS
3.26 For the function f(x)=4x-5 determine whether f(x) is one-to-one. If so, find a... (answered by Theo)

f(x)=3x+4 a) Determine whether the function is one-to-one B) If it is one-to-one,... (answered by rothauserc)

please explain: Determine whether f(x)=6/(x+5) is one-to-one. If it is one-to-one, find... (answered by MathLover1)

Determine whether the given function is one-to-one. If it is one-to-one, find its... (answered by Theo)

Find a formula for the inverse f(x)= (x+5)^3 if the function is one to... (answered by josgarithmetic)

Determine if given function is one to one. If it is, find the formula for the... (answered by stanbon,jim_thompson5910,gonzo)

For the following function, a)determine whether it is one to one b)if it is one to one,... (answered by lynnlo)

Can somebody help me to do this problem? the directions are Determine whether the given... (answered by Theo)

Determine whether the function has an inverse function and if so, find the inverse... (answered by stanbon)