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Answer :
To solve the problem where [tex]\( g(x) = \frac{\sqrt{x}}{2} \)[/tex] and [tex]\( g(x) = 5 \)[/tex], we need to find the value of [tex]\( x \)[/tex].
1. Start with the equation:
[tex]\[
g(x) = \frac{\sqrt{x}}{2} = 5
\][/tex]
2. To eliminate the fraction, multiply both sides of the equation by 2:
[tex]\[
\sqrt{x} = 10
\][/tex]
3. Next, square both sides to solve for [tex]\( x \)[/tex]:
[tex]\[
x = 10^2
\][/tex]
4. Calculate [tex]\( 10^2 \)[/tex]:
[tex]\[
x = 100
\][/tex]
Therefore, the value of [tex]\( x \)[/tex] is [tex]\(\boxed{100}\)[/tex].
1. Start with the equation:
[tex]\[
g(x) = \frac{\sqrt{x}}{2} = 5
\][/tex]
2. To eliminate the fraction, multiply both sides of the equation by 2:
[tex]\[
\sqrt{x} = 10
\][/tex]
3. Next, square both sides to solve for [tex]\( x \)[/tex]:
[tex]\[
x = 10^2
\][/tex]
4. Calculate [tex]\( 10^2 \)[/tex]:
[tex]\[
x = 100
\][/tex]
Therefore, the value of [tex]\( x \)[/tex] is [tex]\(\boxed{100}\)[/tex].
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