Answer:
Below
Explanation:
Domain 'x' can be any value except 10 <====which would make the denominator = 0 which is not allowed
(-∞, 10 ) U (10 , +∞)
Range : horizontal asymptote the degree of the numerator and the denominator is the same : 1 so the horizontal asymptote will be
3 / -1 = -3 ( The coefficients of 'x' in the num and den)
the vertical asymptote occurs at x = 10 ...then the value of y goes to + inf
so range is ( -3, +∞)
Inverse Does exist , switch x's and y's in the original equation
x = (3y+1) / (10-y) now solve for y
and you will get f^-1 (x) = (10x-4) / (x+3)
Here is graph of f(x) , f^-1(x) and x=y :