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Popular >

f(x)=((4x-5))/((3x+2))

Solution

f (x) = \frac{( 4 x - 5 )}{( 3 x + 2 )}

Solution

Domain : x < - \frac{2}{3} or x > - \frac{2}{3}

Range : f (x) < \frac{4}{3} or f (x) > \frac{4}{3}

X Intercepts : (\frac{5}{4}, 0), Y Intercepts : (0, - \frac{5}{2})

Asymptotes : Vertical x = - \frac{2}{3}, Horizontal y = \frac{4}{3}

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - \frac{2}{3}) \cup (- \frac{2}{3}, \infty)

Range : (- \infty, \frac{4}{3}) \cup (\frac{4}{3}, \infty)

Solution steps

Domain of

\frac{4 x - 5}{3 x + 2} : x < - \frac{2}{3} or x > - \frac{2}{3}

Range of

\frac{4 x - 5}{3 x + 2} : f (x) < \frac{4}{3} or f (x) > \frac{4}{3}

Axis interception points of

\frac{4 x - 5}{3 x + 2} :

X Intercepts

: (\frac{5}{4}, 0),

Y Intercepts

: (0, - \frac{5}{2})

Asymptotes of

\frac{4 x - 5}{3 x + 2} :

Vertical

: x = - \frac{2}{3},

Horizontal

: y = \frac{4}{3}

Extreme Points of

\frac{4 x - 5}{3 x + 2} :

None

Popular Examples

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f (x) = 5 sin (x) 2 \cdot lo g_{10} (x)

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g(x)= 1/(2*x^{-2)}

g (x) = \frac{1}{2 \cdot x ^{- 2}}

f(a)=2a^4-a^3-2a^2+5a-1

f (a) = 2 a^{4} - a^{3} - 2 a^{2} + 5 a - 1

f(x)=(((2x+3)^2(x-2)^5))/((x^3(x-5)^2))

f (x) = \frac{( ( 2 x + 3 ) ^{2} ( x - 2 ) ^{5} )}{( x ^{3} ( x - 5 ) ^{2} )}

Frequently Asked Questions (FAQ)

What is the f(x)=((4x-5))/((3x+2)) ?
The f(x)=((4x-5))/((3x+2)) is