What is the domain of f(x)=(-4x+7)/(5x-2) ?

The domain of f(x)=(-4x+7)/(5x-2) is x 2/5

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domain of f(x)=(-4x+7)/(5x-2)

domain

f (x) = \frac{- 4 x + 7}{5 x - 2}

x < \frac{2}{5} or x > \frac{2}{5}

Interval Notation

(- \infty, \frac{2}{5}) \cup (\frac{2}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{2}{5}

The function domain

x < \frac{2}{5} or x > \frac{2}{5}

y + x^{2} = 4 x - 3

f (x) = \frac{x + 5}{x - 5}

- - x - 2

f (x) = 3 \cdot 0 - 1

f (x) = lo g_{10} (x^{2} + 11)

What is the domain of f(x)=(-4x+7)/(5x-2) ?
The domain of f(x)=(-4x+7)/(5x-2) is x< 2/5 \lor x> 2/5