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Popular >

range of f(x)=((-4-5x))/(3x-1)

Solution

range

f (x) = \frac{( - 4 - 5 x )}{3 x - 1}

Solution

f (x) < - \frac{5}{3} or f (x) > - \frac{5}{3}

+1

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{- 4 - 5 x}{3 x - 1}

Inverse of

\frac{- 4 - 5 x}{3 x - 1} : \frac{- 4 + x}{3 x + 5}

\frac{- 4 + x}{3 x + 5}

Find the domain of each inverse function

Domain of

\frac{- 4 + x}{3 x + 5} : x < - \frac{5}{3} or x > - \frac{5}{3}

Combine the intervals

f (x) < - \frac{5}{3} or f (x) > - \frac{5}{3}

Popular Examples

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x^{\frac{15}{7}} + x^{\frac{8}{7}}

inverse of f(x)=ln((x+3)/(2-x))inverse

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

inverse of sqrt(1+t^2)inverse

1 + t^{2}

range of f(x)=3sin(pix)range

f (x) = 3 sin (π x)

parity y=2t+tan(t)parity

y = 2 t + tan (t)

Frequently Asked Questions (FAQ)

What is the range of f(x)=((-4-5x))/(3x-1) ?
The range of f(x)=((-4-5x))/(3x-1) is f(x)<-5/3 \lor f(x)>-5/3