Find the smallest value in the domain of the function f (x) = $\sqrt { 2 x - 5 }$ .
A)2
B) $\frac { 5 } { 2 }$
C)5
D) $\frac { 2 } { 5 }$
E)-2
F)1
G)0

H)-5

Question

Find the smallest value in the domain of the function f (x) = $\sqrt { 2 x - 5 }$ .
A)2
B) $\frac { 5 } { 2 }$ 
C)5
D) $\frac { 2 } { 5 }$ 
E)-2
F)1
G)0

H)-5

Quizplus · Accepted Answer

The domain of the function $f(x) = \sqrt{2x - 5}$ is determined by the condition $2x - 5 \geq 0$, to ensure the expression under the square root is non-negative. Solving $2x - 5 \geq 0$ gives $x \geq \frac{5}{2}$. Therefore, the smallest value in the domain is $\frac{5}{2}$.

Find the Smallest Value in the Domain of the Function 2x−5\sqrt { 2 x - 5 }2x−5​

Find the Smallest Value in the Domain of the Function $\sqrt { 2 x - 5 }$