The number of integral values of x for which fx-x-2-7-x is defined- is

F(x)=√(x+2)+√(7 x) f is meaningful if x+2 ≥ 0 and 7 x ≥ 0 ⇒ x≥ 2 and x≤ 7 ⇒ x∈ [ 2,7] Number of integral values in the interval [ 2,7] is 10. nbsp; ...

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Domain

The number of...

Question

The number of integral values of $x$ for which $f (x) = \sqrt{x + 2} + \sqrt{7 - x}$ is defined, is

Open in App

Solution

$f (x) = \sqrt{x + 2} + \sqrt{7 - x}$
$f$ is meaningful if $x + 2 \geq 0$ and $7 - x \geq 0$
$\Rightarrow x \geq - 2$ and $x \leq 7$
$\Rightarrow x \in [- 2, 7]$
Number of integral values in the interval $[- 2, 7]$ is $10$ .

Suggest Corrections

Similar questions

Q. Let

f (x)

be a real valued function, then the number of integral values of

x

for which

f (x) = \sqrt{x + 2} + \sqrt{7 - x}

is defined, is

Q. Assertion :Statement-1:

f (x) = \frac{1}{{x}}

is discontinuous for integral values of

x

, where {} denotes the fractional part function. Reason: Statement-2: For integral values of

x

f (x)

is not defined.

Q. The number of integral values of

a

for which

y = \frac{a x^{2} - 7 x + 5}{5 x^{2} - 7 x + a}

can take all real values, where

x \in R

(wherever the function is defined), is

Q. The minimum integral value of the sum of real numbers

x^{11}, x^{3}, x^{7}, 1, 4 x^{- 5}

and

x^{- 1}

, where x can take only those values for which

f (x) = l n (x)

is well defined is -

Q. The number of integral values of

a

for which

y = \frac{a x^{2} - 7 x + 5}{5 x^{2} - 7 x + a}

can take all real values, where

x \in R

(wherever the function is defined), is

Join BYJU'S Learning Program

Explore more

Domain

Standard XII Mathematics

Join BYJU'S Learning Program

The number of integral values of x for which f(x)=√x+2+√7−x is defined, is

f(x)=√x+2+√7−x f is meaningful if x+2≥0 and 7−x≥0 ⇒x≥−2 and x≤7 ⇒x∈[−2,7] Number of integral values in the interval [−2,7] is 10.

The number of integral values of $x$ for which $f (x) = \sqrt{x + 2} + \sqrt{7 - x}$ is defined, is

$f (x) = \sqrt{x + 2} + \sqrt{7 - x}$
$f$ is meaningful if $x + 2 \geq 0$ and $7 - x \geq 0$
$\Rightarrow x \geq - 2$ and $x \leq 7$
$\Rightarrow x \in [- 2, 7]$
Number of integral values in the interval $[- 2, 7]$ is $10$ .