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2 years ago

If f(x)=3x, what is f^-1(x)?

Mathematics

2 answers:

Anton [14]2 years ago

5 0

Answer: f-1(x) = x/3 + 5/3

Step-by-step explanation: The inverse function is found by replacing the independent variable with the dependent variable and vice versa like so

f(x) = 3x-5 becomes x = 3y-5; now we solve for y

3y = x +5 or y = x/3 + 5/3

Therefore the inverse function becomes: f-1(x) = x/3 + 5/3

-BARSIC- [3]2 years ago

3 0

Answer: -1(x)] = x

Step-by-step explanation:

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Use integration by parts to find the integrals in Exercise. ∫(x+6)ex dx.

skelet666 [1.2K]

Answer:

$xe^x+5e^x$

Step-by-step explanation:

We have given integral $\int (x+6)e^xdx$

$\int (xe^x+6e^x)dx$

$\int (I_1+I_2)dx$ , here $I_1=xe^x$ and $I_2=6e^x$

Now first integrate $I_1$

So $I_1=\int xe^x$

Integrating by part

$I_1=x\int e^x-\int e^x\frac{d}{dx}x$

$I_1=x e^x- e^x$

$I_2=6\int e^x=6e^x$

So $I=I_1+I_2=xe^x-e^x+6e^x=xe^x+5e^x$

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2 years ago

200,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000+1

Masja [62]

Answer:

200,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,001

Step-by-step explanation:

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2 years ago

Maymona book club is ordering new novels, She knows that the total cost of 6 books is $90, and 10 books cost $150. Write an equa

aleksandr82 [10.1K]

Answer:

Y=15x

Step-by-step explanation:

<h2>Okay so let's approach this problem!</h2><h2 />

X is books and Y is total cost

Let's find the slope!

Y2-Y1/ X2-X1

Just replace

$\frac{150 - 90}{10 - 6}$

$\frac{60}{4} = 15$

The slope is 15

$y = 15x + b$

Now replace x and y with coordinates and solve

$150 = 15(10) + b \\ 150 = 150 + b \\ - 150 \\ 0 = b$

The final equation:

y = 15x

That's it! If you have any questions please ask! Brainliest Appreciated.

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2 years ago

The perimeter of a rectangle is 100 yd. if its width is four times its length, what is the area?

7nadin3 [17]

Length = l

Width = w

Perimeter = p = 100

Perimeter of rectangle = 2(l+w)

100 = 2 (4w + w)

100 = 2(5w)

100 = 10w

100/10 = w

10 = w

w = 10

Area of rectangle = length * width

a = l*w

a = 4w*w

a = 4w^2............(1)

Put the value of w in (1)

a = 4(10)^2

a= 4(100)

a = 400 yd^2

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3 years ago

Y varies directly with x. When y is 105, x is 7. What is k

marta [7]

Answer:

Given:

varies inversely with

So, we can write it as:

∝

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2 years ago