If the function f - R - R is defined by- f x -Bigg begin matrix 2 x-7- x-23 x-2- x e q 2 lendmatrix Find the value of f 2-A- 4B- 5C- 9D- 1

The correct option is A 4Given, f(x) = { 2x + 7, x lt; 2 3x 2, x≥ 2 For a given value of x = a, find out the interval at which the point a is located, t ...

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Standard X

Mathematics

Function

If the functi...

Question

$If the function f : R \to R$ is defined by :
$f (x) = {\begin{matrix} 2 x + 7, x < 2 3 x - 2, x \geq 2 \end{matrix}$
Find the value of $f (2)$ .

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Solution

The correct option is B 4
$Given, f (x) = {\begin{matrix} 2 x + 7, x < 2 3 x - 2, x \geq 2 \end{matrix}$
For a given value of x = a, find out the interval at which the point a is located, there after find f (a) using the particular value defined in that interval.

Here, 2 lies in the 2nd interval. So for x = 2, $f (x) = 3 x - 2$

$∴ f (2) = 3 (2) - 2 = 4$

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If the function f:R→R is defined by : f(x)={2x+7,x<23x−2,x≥2 Find the value of f(2).

The correct option is B 4Given, f(x)={2x+7,x<23x−2,x≥2 For a given value of x = a, find out the interval at which the point a is located, there after find f (a) using the particular value defined in that interval. Here, 2 lies in the 2nd interval. So for x = 2, f(x)=3x−2 ∴f(2)=3(2)−2 =4

$If the function f : R \to R$ is defined by :
$f (x) = {\begin{matrix} 2 x + 7, x < 2 3 x - 2, x \geq 2 \end{matrix}$
Find the value of $f (2)$ .