en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=(4^x)/(3^{x^2)}

Solution

f (x) = \frac{4 ^{x}}{3 ^{x^{2}}}

Solution

Domain : - \infty < x < \infty

Range : 0 < f (x) \leq e^{\frac{l n ^{2} ( 2 )}{l n ( 3 )}}

Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (\frac{ln ( 2 )}{ln ( 3 )}, \frac{4 ^{\frac{l n ( 2 )}{l n ( 3 )}}}{3 ^{\frac{l n ^{2} ( 2 )}{l n ^{2} ( 3 )}}})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, e^{\frac{l n ^{2} ( 2 )}{l n ( 3 )}}]

Solution steps

Domain of

\frac{4 ^{x}}{3 ^{x^{2}}} : - \infty < x < \infty

Range of

\frac{4 ^{x}}{3 ^{x^{2}}} : 0 < f (x) \leq e^{\frac{l n ^{2} ( 2 )}{l n ( 3 )}}

Axis interception points of

\frac{4 ^{x}}{3 ^{x^{2}}} :

Y Intercepts

: (0, 1)

Asymptotes of

\frac{4 ^{x}}{3 ^{x^{2}}} :

None

Extreme Points of

\frac{4 ^{x}}{3 ^{x^{2}}} :

Maximum

(\frac{ln ( 2 )}{ln ( 3 )}, \frac{4 ^{\frac{l n ( 2 )}{l n ( 3 )}}}{3 ^{\frac{l n ^{2} ( 2 )}{l n ^{2} ( 3 )}}})

Popular Examples

f(x)=(x^2)/(x^2-25)

f (x) = \frac{x ^{2}}{x ^{2} - 25}

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

h(x)=-(x+2)^2-4

h (x) = - (x + 2)^{2} - 4

s(t)=5+t^2-4t^3

s (t) = 5 + t^{2} - 4 t^{3}

f (x) = 1 0^{x} - 4

Frequently Asked Questions (FAQ)

What is the f(x)=(4^x)/(3^{x^2)} ?
The f(x)=(4^x)/(3^{x^2)} is