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MariettaO [177]
3 years ago
10

Find the inverse of f(x)=−3/2x+7/2.

Mathematics
1 answer:
timama [110]3 years ago
7 0

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}

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Please help its urgent ​
hram777 [196]

Answer:

<h2>Function is y = x.</h2><h2>Domain: -3 \leq x \leq 2.</h2><h2>Range: -5 \leq y \leq 4.</h2>

Step-by-step explanation:

In the given image, the line passes through (-1, -1) and (1, 1).

Let the equation of the line is y = mx + c, where m is the tangent of the line and c is a constant.

Putting the co-ordinates of the points in the equation, we get -1 = -m + c and 1 = m + c

From the two equations we get, c = 0 and m = 1.

Hence, the function is y = x.

Domain is -3 \leq x \leq 2.

Range is -5 \leq y \leq 4

5 0
3 years ago
Elias has decided to fence in a garden that is in the shape of a parallelogram. If one side measures 76 ft and 250 ft of fencing
Leni [432]

The length of side of garden are 76 feet and 49 feet

<em><u>Solution:</u></em>

Given that, Elias has decided to fence in a garden that is in the shape of a parallelogram

Measure of one side = 76 feet

250 ft of fencing is needed to enclose the garden

Therefore, perimeter = 250

<em><u>The perimeter of parallelogram is given by:</u></em>

Perimeter = 2(a + b)

Where, a and b are the length of sides

Here, a = 76

b = ?

<em><u>Substituting in formula, we get</u></em>

250 = 2(76 + b)

250 = 152 + b

2b = 250 - 152

2b = 98

b = 49

Thus the length of side of garden is 49 feet

8 0
2 years ago
Help please please please please ASAP
natulia [17]

Answer: 46 yds².

Step-by-step explanation:

Find the area of all surfaces & add them up:

(5 · 3) + (5 · 3) + (1 · 3) + (1 · 3) + (1 · 5) + (1 · 5) = 15 + 15 + 3 + 3 + 5 + 5

= 30 + 6 + 10 = 36 + 10 = 46 square

5 0
3 years ago
Read 2 more answers
Can someone help me ​
nexus9112 [7]

Answer:

Its C i think

Step-by-step explanation:

3 0
3 years ago
10.) Part A: What is the area, in square feet, of the kitchen?
just olya [345]

The computation shows that the area of the kitchen that's in the home in square feet is 50ft².

<h3>How to calculate the area?</h3>

It should be noted that an area of a rectangular space is calculated by multiplying the length by the width.

In this case, the area of the kitchen will be:

= 5ft × 10ft

= 50ft²

Learn more about area on:

brainly.com/question/25292087

4 0
1 year ago
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