What is the domain of f(x)=(4-s^2)/(2s^2-7s-4) ?

The domain of f(x)=(4-s^2)/(2s^2-7s-4) is s 4

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domain of f(x)=(4-s^2)/(2s^2-7s-4)

domain

f (x) = \frac{4 - s ^{2}}{2 s ^{2} - 7 s - 4}

s < - \frac{1}{2} or - \frac{1}{2} < s < 4 or s > 4

Interval Notation

(- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

s = 4, s = - \frac{1}{2}

The function domain

s < - \frac{1}{2} or - \frac{1}{2} < s < 4 or s > 4

What is the domain of f(x)=(4-s^2)/(2s^2-7s-4) ?
The domain of f(x)=(4-s^2)/(2s^2-7s-4) is s<-1/2 \lor-1/2 <s<4\lor s>4