Question 1006064
the graph of the equation f(x) = (x-10) / (x+6)
{{{graph(300, 200,-20, 20, -10, 10, (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)