What is the domain of f(x)=log_{2}(-7/((x+3)*(1-x))) ?

The domain of f(x)=log_{2}(-7/((x+3)*(1-x))) is x 1

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domain of f(x)=log_{2}(-7/((x+3)*(1-x)))

domain

f (x) = lo g_{2} (- \frac{7}{( x + 3 ) \cdot ( 1 - x )})

x < - 3 or x > 1

Interval Notation

(- \infty, - 3) \cup (1, \infty)

Solution steps

Find positive values for logs:

x < - 3 or x > 1

Find undefined (singularity) points:

x = - 3, x = 1

Combine real regions and undefined points for final function domain

x < - 3 or x > 1

\frac{4 x - 8}{x ^{2} - 3 x - 4}

\frac{5}{5 - x}

f (x) = \frac{x}{7 x + 11}

f (x) = \frac{( 2 x + 3 ) ( x - 1 )}{( x - 1 )}

What is the domain of f(x)=log_{2}(-7/((x+3)*(1-x))) ?
The domain of f(x)=log_{2}(-7/((x+3)*(1-x))) is x<-3\lor x>1