CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Many-One onto Function

If 3 x + 2...

Question

If $3^{x + 2} - 9^{- 1 / x} > 0$ then find interval of $x .$

Open in App

Solution

$3^{(x + 2)} > 3^{(- 2 / x)}$
$\Rightarrow x + 2 > \frac{- 2}{x}$
$\Rightarrow x^{2} + 2 x + 2 > 0$
${(x + 1)}^{2} + 1 > 0$
(always true)
So, $x \in R$

Suggest Corrections

thumbs-up

0

Similar questions

x

5 x^{2} + 2 x + 9 > 3 x^{2} + 10 x + 7

x

lies in the interval

3 x^{2} + 4 k x + 1 > 0

for all real values of

x

k

lies in the interval.

\frac{x - 3}{|x - 3|} \geq 0,

then x belongs to the interval ___________.

f (x + 1) = 3 x - 9

then find the value of

f (x^{2} - 1)

x^{2} - 3 x + 1 = 0

then find the value of

x^{2} + \frac{1}{x^{2}}

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Many-One onto Function

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon