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3 years ago

What is the correct inverse function for f(x)=In(3x)?

Mathematics

1 answer:

GREYUIT [131]3 years ago

8 0

Answer:

f⁻¹(x) = eˣ / 3

Step-by-step explanation:

f(x) = In(3x)

y = In(3x)

swap x and y: x = In(3y)

solve y: eˣ = 3y

y = eˣ / 3

f⁻¹(x) = eˣ / 3

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InWrite the equation of the line that passes through (7, - 4) and (- 1, 2) slope- intercept form.

blondinia [14]

Answer:

General Equation of a Line

$General Equation \\(y - y_{1} )= m (x-x_{1}) \\Slope=m= \frac{x_{2}-x_{1} }{y_{2}-y_{1} } \\\\Given:\\p_{1}=(7,-4)\\p_{2}=(-1,2)\\Solution:\\m=(\frac{-1-7}{2-(-4)}) =\frac{-8}{6}\\y-(-4) = (\frac{-8}{6} )(x-7)\\y+4=\frac{-8x}{6} + 56\\y=\frac{-8x}{6} + 52 \\\\The\\ equation \\ is \\ y=\frac{-8x}{6} + 52$

Step-by-step explanation:

Find the slope first and then place the values on the general formula. The final step is to solve for y

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3 years ago

The total cost for 8 bracelets,including shipping was $54. the shipping charge was $6.

nevsk [136]

Im pretty sure it would be 54÷ b- 6 if your looking for only the cost of the braclets nothing else.

4 0

3 years ago

Read 2 more answers

ILL GIVE YOU 60 POINTS

Lubov Fominskaja [6]

Answer:

-168

Step-by-step explanation:

14(5−11)(2)

=(14)(−6)(2)

=(−84)(2)

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Plug the number for the x value and then solve the equation.

7 0

3 years ago

$55 per gallon. 1 gallon covers 100sqft. What is the price per sqft?

marta [7]

the price is 0.55$ per square foot

Step-by-step explanation:

We can solve the problem by using the rule of three.

In fact, we know that:

1 gallon covers an area of $100 ft^2$

While the price per gallon is

$55 per gallon

This means that the price per $100 ft^2$ is $55, since 1 gallon cover $100 ft^2$

Therefore, to find the price per square foot, we can write

$\frac{55}{100}=\frac{x}{1}$

WHere x is the price per square foot. Solving for x,

$x=\frac{55}{100}=0.55\$$

So, the price is 0.55$ per square foot.

Learn more about problems with price:

brainly.com/question/4479991

#LearnwithBrainly

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3 years ago

Solve the given equation

AlexFokin [52]

Eliminate the fractions by multiplying by least common multiple.
4,9,12 all go into 36 evenly. Multiply entire equation by 36.

36/4 = 9
36/9 = 4
36/12 = 3

New equation looks like:
$9(w-1) +4(w+1) = -3(w+1) \\ \\ 9w -9 +4w +4 = -3w -3 \\ \\ 9w +4w+3w = -3 +9 -4 \\ \\ 16w = 2 \\ \\ w = \frac{2}{16} = \frac{1}{8}$

4 0

3 years ago