3 years ago

Simplify the expression. Write your answer as a power.

Mathematics

1 answer:

postnew [5]3 years ago

5 0

Answer:

b^36

Step-by-step explanation:

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Find the inverse <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:

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

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2 years ago

If a=-9 and b= -4, what is the value of a + b? 0-5 5 -13 13

Hunter-Best [27]

Answer:

The answer is -13.

Step-by-step explanation:

-9 + -4 = -13

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3 years ago

Which graph could represent y, the amount owed on a car loan, as regular payments are made each month, x?

olga2289 [7]

Answer: 2nd graph

Step-by-step explanation:

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Which relation represents f(x) = 2x - 5?

goblinko [34]

Answer:

{(0,-5), (1, -3), (2, -1), (3, 1)

Step-by-step explanation:

If you plug in 1 for x you get f(x)=2(1)-5 which equals 2-5=-3

You would repeat these steps just going up by one number every time

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