What is the range of f(x)=2e^{x^2-9x+2} ?

The range of f(x)=2e^{x^2-9x+2} is f(x)>0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of f(x)=2e^{x^2-9x+2}

range

f (x) = 2 e^{x^{2} - 9 x + 2}

f (x) > 0

Interval Notation

(0, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

2 e^{x^{2} - 9 x + 2}

Inverse of

2 e^{x^{2} - 9 x + 2} : \frac{9 + 4 ln ( \frac{x}{2} ) + 73}{2}, \frac{9 - 4 ln ( \frac{x}{2} ) + 73}{2}

\frac{9 + 4 ln ( \frac{x}{2} ) + 73}{2}, \frac{9 - 4 ln ( \frac{x}{2} ) + 73}{2}

Find the domain of each inverse function

Domain of

\frac{9 + 4 ln ( \frac{x}{2} ) + 73}{2} : x > 0

Domain of

\frac{9 - 4 ln ( \frac{x}{2} ) + 73}{2} : x > 0

Combine the intervals

f (x) > 0

f (x) = 6 y - 3 x = - 18

f (t) = \frac{t}{4 - t - 2}

x - 4

x + 2 y = - 3

(3.2) (- 8.4)

What is the range of f(x)=2e^{x^2-9x+2} ?
The range of f(x)=2e^{x^2-9x+2} is f(x)>0