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Natali5045456 [20]
4 years ago
8

F(x)=[3x-4] absolute value​

Mathematics
2 answers:
VLD [36.1K]4 years ago
4 0
I think it might be X > 1
Alinara [238K]4 years ago
3 0

Answer:

x≥1

Step-by-step explanation:

x has to be bigger than 1 or equal to 1.

Because if it is something smaller than that, then the answer becomes negative, which is not allowed. Absolute value always give positive answers!

Hope this helps!

Mark brainliest if you think I helped! Would really appreciate!

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Lera25 [3.4K]
Assuming the function is

f(x)=\begin{cases}2x&\text{for }x\le1\\bx^2+cx&\text{for }x>1\end{cases}

For f(x) to be differentiable, it necessarily has to be continuous. For this condition to be met, we need

\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^+}f(x)=f(1)
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For the derivative to exist, the one-sided limits of the derivative must also exist and be equal. We have

f'(x)=\begin{cases}2&\text{for }x1\end{cases}

\displaystyle\lim_{x\to1^-}2=\lim_{x\to1^+}(2bx+c)
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Now we solve for b and c:

\begin{cases}b+c=2\\2b+c=2\end{cases}\implies b=0,c=2
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4 years ago
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