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3 years ago

HELP ASAP !!!!!!!!!!!! plz

Mathematics

1 answer:

Allushta [10]3 years ago

8 0

I can't see the attachment.

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Find the inverse of f(x)=−3/2x+7/2.

timama [110]

Answer: $f^{-1}(x)=-\frac{2}{3}x+\frac{7}{3}$

Step-by-step explanation:

To find the inverse of a function, you want to replace x with y and y with x. Then, you solve for y.

$y=-\frac{3}{2}x+\frac{7}{2}$ [replace y with x and x with y]

$x=-\frac{3}{2}y+\frac{7}{2}$ [subtract both sides by 7/2]

$x-\frac{7}{2} =-\frac{3}{2}y$ [multiply both sides by -2/3]

$-\frac{2}{3} (x-\frac{7}{2} )=y$ [distribute]

$y=-\frac{2}{3}x+\frac{7}{3}$

Now, we have our inverse function.

$f^-^1(x)=-\frac{2}{3}x+\frac{7}{3}$

7 0

3 years ago

Write a function that has x-intercepts at x=4 and<br> X=- 6 and vertical asymptotes at x=5 and x =3

sergiy2304 [10]

9
x
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6 0

3 years ago

Please help me with this question.

Evgen [1.6K]

Answer:

$\purple{ \boxed{\frac{d^{2} y}{dx ^{2} } = \frac{132}{ {x}^{13} } }}$

Step-by-step explanation:

$y = \frac{1}{ {x}^{11} } \\ y = {x}^{ - 11} \\ \frac{dy}{dx} = \frac{d}{dx} {x}^{ - 11} \\ \frac{dy}{dx} = - 11{x}^{ - 11 - 1} \\ \frac{dy}{dx} = - 11{x}^{ - 12} \\ \\ \frac{d}{dx} \bigg(\frac{dy}{dx} \bigg) = \frac{d}{dx} ( - 11 {x}^{ - 12} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = - 11\frac{d}{dx} ( {x}^{ - 12} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = - 11( - 12{x}^{ - 13} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = 132{x}^{ - 13} \\ \\ \huge \red{ \boxed{\frac{d^{2} y}{dx ^{2} } = \frac{132}{ {x}^{13} } }}$

8 0

3 years ago

A horizontal line on a distance time graph represents

DanielleElmas [232]

Answer:

<h3><em>A distance-time graph tells us how far an object has moved with time. The steeper the graph, the faster the motion. A horizontal line means the object is not changing its position - it is not moving, it is at rest.</em></h3>

4 0

4 years ago

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Multiply (2x + 12)(4x-2)

Murrr4er [49]

Answer:

8x^2-44x-24

Step-by-step explanation:

(2x + 12)(4x-2)

=>8x^2+48x-4x-24

=>8x^2-44x-24

6 0

3 years ago