Answer :
The question appears to involve the functions [tex]\( f(x) = \sqrt{x} + 12 \)[/tex] and [tex]\( g(x) = 2\sqrt{x} \)[/tex]. It seems like it's asking to find [tex]\( f(x) - g(x) \)[/tex] for some value of [tex]\( x \)[/tex]. Unfortunately, the problem does not give us the specific value of [tex]\( x \)[/tex] needed to find an answer that matches options -84, -60, 0, or 48.
Without a specific [tex]\( x \)[/tex], we cannot calculate [tex]\( f(x) - g(x) \)[/tex] directly. To solve this problem or find a particular difference, we would need:
1. Calculate [tex]\( f(x) \)[/tex] using [tex]\( f(x) = \sqrt{x} + 12 \)[/tex].
2. Calculate [tex]\( g(x) \)[/tex] using [tex]\( g(x) = 2\sqrt{x} \)[/tex].
3. Find [tex]\( f(x) - g(x) = (\sqrt{x} + 12) - 2\sqrt{x} \)[/tex].
4. Simplify the expression: [tex]\( f(x) - g(x) = \sqrt{x} + 12 - 2\sqrt{x} \)[/tex] which simplifies to [tex]\( -\sqrt{x} + 12 \)[/tex].
Since [tex]\( x \)[/tex] is not specified, I can't determine the exact value of [tex]\( f(x) - g(x) \)[/tex]. If possible, please provide the value of [tex]\( x \)[/tex] so we can solve the problem completely.
Without a specific [tex]\( x \)[/tex], we cannot calculate [tex]\( f(x) - g(x) \)[/tex] directly. To solve this problem or find a particular difference, we would need:
1. Calculate [tex]\( f(x) \)[/tex] using [tex]\( f(x) = \sqrt{x} + 12 \)[/tex].
2. Calculate [tex]\( g(x) \)[/tex] using [tex]\( g(x) = 2\sqrt{x} \)[/tex].
3. Find [tex]\( f(x) - g(x) = (\sqrt{x} + 12) - 2\sqrt{x} \)[/tex].
4. Simplify the expression: [tex]\( f(x) - g(x) = \sqrt{x} + 12 - 2\sqrt{x} \)[/tex] which simplifies to [tex]\( -\sqrt{x} + 12 \)[/tex].
Since [tex]\( x \)[/tex] is not specified, I can't determine the exact value of [tex]\( f(x) - g(x) \)[/tex]. If possible, please provide the value of [tex]\( x \)[/tex] so we can solve the problem completely.
