What is the domain of f(x)=(7a)/((a+1)(a-4)) ?

The domain of f(x)=(7a)/((a+1)(a-4)) is a 4

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domain of f(x)=(7a)/((a+1)(a-4))

domain

f (x) = \frac{7 a}{( a + 1 ) ( a - 4 )}

a < - 1 or - 1 < a < 4 or a > 4

Interval Notation

(- \infty, - 1) \cup (- 1, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

a = - 1, a = 4

The function domain

a < - 1 or - 1 < a < 4 or a > 4

f (x) = 3 x + 27

f (x) = \frac{x ^{2} - 2 x - 8}{x ^{2} + x - 6}

(x - 6)^{2}

f (x) = - x^{2} + 2 x + 5

\frac{7}{8}

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