SOLUTION: Can somebody show me step by step on this problem. The directions are Determine whether the function is one-to-one by graphing and using the horizontal line test and if it is one-t
Algebra ->
Exponential-and-logarithmic-functions
-> SOLUTION: Can somebody show me step by step on this problem. The directions are Determine whether the function is one-to-one by graphing and using the horizontal line test and if it is one-t
Log On
Question 1006064: Can somebody show me step by step on this problem. The directions are Determine whether the function is one-to-one by graphing and using the horizontal line test and if it is one-to-one, find a formula for the inverse. The problem is f(x)=x-10/x+6. Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! the graph of the equation f(x) = (x-10) / (x+6)
drawing a horizontal line indicates a single point of intersection, therefore the function is one-to-one
solve function for x
y = (x-10) / (x+6)
yx + 6y = x - 10
yx - x = -6y - 10
x(y-1) = -6y - 10
x = -(6y + 10) / (y - 1)
interchange the x's and y's
y = -(6x + 10) / (x - 1), therefore
f-1(x) = -(6x+10) / (x-1)
