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3 years ago

Determine the missing dimension

Mathematics

1 answer:

densk [106]3 years ago

8 0

Answer:

Of what?

Step-by-step explanation:

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Find the inverse <br><img src="https://tex.z-dn.net/?f=f%28x%29%3D%7Be%7D%5E%7B3x%20-%201%7D%20" id="TexFormula1" title="f(x)={e

FromTheMoon [43]

Answer:

$f^{-1}(x)=\dfrac{1}{3}(\ln x +1)$

Step-by-step explanation:

Given function:

$f(x)=e^{3x-1}$

Replace f(x) with y:

$\implies y=e^{3x-1}$

Take natural logs of both sides:

$\implies \ln y = \ln e^{3x-1}$

Apply the Power Log Law $\ln x^n=n\ln x$ :

$\implies \ln y = (3x-1)\ln e$

As $\ln e=1$ then:

$\implies \ln y = 3x-1$

Rearrange to make x the subject:

$\implies 3x=\ln y +1$

$\implies x=\dfrac{1}{3}(\ln y +1)$

Swap x for $f^{-1}(x)$ and y for x:

$\implies f^{-1}(x)=\dfrac{1}{3}(\ln x +1)$

8 0

1 year ago

I don’t understand this question can you also help me figure it out step by step I would greatly appreciated it

lapo4ka [179]

Answer:

If a shape is a square, then it is a quadrilateral

Step-by-step explanation:

Quadrilateral means four sided shape, so automatically, because a square has 4 sides, you know it is a quadrilateral. But not all quadrilaterals are a square, you could have a rectangle which is four sides so you know that this statement is wrong "If a shape is a quadrilateral, then it is a square." Therefore, the answer is "If a shape is a square, then it is a quadrilateral

5 0

2 years ago

Read 2 more answers

What is 10/12 times 3/5 times 1/4 equal

natima [27]

1/8 is the answer jahdbdjdndndndn

3 0

2 years ago

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Please can anyone help me with this I tried to do it and I got it wrong.

MatroZZZ [7]

Answer: