What is the domain of f(x)=(7x)/(6x+7) ?

The domain of f(x)=(7x)/(6x+7) is x -7/6

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domain of f(x)=(7x)/(6x+7)

domain

f (x) = \frac{7 x}{6 x + 7}

x < - \frac{7}{6} or x > - \frac{7}{6}

Interval Notation

(- \infty, - \frac{7}{6}) \cup (- \frac{7}{6}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{7}{6}

The function domain

x < - \frac{7}{6} or x > - \frac{7}{6}

p er p e n d i c u l a r 5 x + 4 y = 8

in v erse f (x) = \frac{3 x - 4}{4 x + 9}

a sy m pt o t es f (x) = \frac{e ^{x - 1}}{( x - 1 ) ^{2}}

s l o p e in t erce pt 8 x - 4 y = 3

s hi f t y = cos (x - \frac{7 π}{2})

What is the domain of f(x)=(7x)/(6x+7) ?
The domain of f(x)=(7x)/(6x+7) is x<-7/6 \lor x>-7/6