The function \(g\) is defined by \(g(x)=\frac{x^2-x-a}{x^2-x-b}\), wh…

Question

Prompt

The function

g

is defined by

g (x) = \frac{x ^{2} - x - a}{x ^{2} - x - b}

, where

a

and

b

are constants. In the

x y

-plane, the graph of

y = g (x)

passes through the point

(0, 43)

, and

g (- 43) = 0

. What is the value of

b