What are the excluded values of x for x^2-9x/x^2-7x-18

The excluded values of x for x^2-9x/x^2-7x-18 are -2 and 9

The expression is given as:

x^2-9x/x^2-7x-18

Set the denominator of the expression to 0

x^2-7x-18 = 0

Expand the above expression

x^2 + 2x -9x -18 = 0

Factorize the expression

x(x + 2) -9(x +2) = 0

Factor out x + 2

(x -9)(x +2) = 0

Solve for x

x = 9 and x = -2

Hence, the excluded values of x for x^2-9x/x^2-7x-18 are -2 and 9

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step-by-step explanation:

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph