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Popular Functions >

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

Solution

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

Solution

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

Range : f (x) \geq (\frac{13 - 3 W _{0} ( 13 e )}{W _{0} ( 13 e )} + 3)^{\frac{13 - 3 W _{0} ( 13 e )}{2 W _{0} ( 13 e )} - 5}

Y Intercepts : (0, \frac{1}{243})

Asymptotes : Vertical x = - \frac{3}{2}

Extreme Points : Minimum \frac{13 - 3 W _{0} ( 13 e )}{2 W _{0} ( 13 e )}, (\frac{13 - 3 W _{0} ( 13 e )}{W _{0} ( 13 e )} + 3)^{\frac{13 - 3 W _{0} ( 13 e )}{2 W _{0} ( 13 e )} - 5}

+1

Interval Notation

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

Range : (\frac{13 - 3 W _{0} ( 13 e )}{W _{0} ( 13 e )} + 3)^{\frac{13 - 3 W _{0} ( 13 e )}{2 W _{0} ( 13 e )} - 5}, \infty

Solution steps

Domain of

(2 x + 3)^{x - 5} : x > - \frac{3}{2}

Range of

(2 x + 3)^{x - 5} : f (x) \geq (\frac{13 - 3 W _{0} ( 13 e )}{W _{0} ( 13 e )} + 3)^{\frac{13 - 3 W _{0} ( 13 e )}{2 W _{0} ( 13 e )} - 5}

Axis interception points of

(2 x + 3)^{x - 5} :

Y Intercepts

: (0, \frac{1}{243})

Asymptotes of

(2 x + 3)^{x - 5} :

Vertical

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

Extreme Points of

(2 x + 3)^{x - 5} :

Minimum

\frac{13 - 3 W _{0} ( 13 e )}{2 W _{0} ( 13 e )}, (\frac{13 - 3 W _{0} ( 13 e )}{W _{0} ( 13 e )} + 3)^{\frac{13 - 3 W _{0} ( 13 e )}{2 W _{0} ( 13 e )} - 5}

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=(2x+3)^{x-5} ?
The f(x)=(2x+3)^{x-5} is