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2 years ago

Find the range for the given domain: {-3,-1 and 3} and the function is y=3x^2-2x+1.

Mathematics

1 answer:

Artist 52 [7]2 years ago

7 0

Answer:

Step-by-step explanation:

The domain are the x values. When you plug those values into the equation, you get 34, 6, 22.

3(-3²) - 2(-3) + 1 Negative * Negative = Positive

3(9) + 6 + 1

3(-1²) - 2(-1) + 1

3 + 2 +1

3(3²) -2(3) + 1

3(9) - 6 + 1

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Determine the inverse of the function f (x) = 4(x − 3)2 + 2. inverse of f of x is equal to 3 minus the square root of the quanti

Elodia [21]

The inverse of the function f(x) = 4(x-3)² + 2 is $f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3$

The given function is:

f(x) = 4(x - 3)² + 2

To find the inverse of the function:

Make x as the subject of the formula

$4(x-3)^2 = f(x) - 2\\(x-3)^2 = \frac{f(x)-2}{4} \\x - 3 = \sqrt{\frac{f(x)-2}{4} } \\x = \sqrt{\frac{f(x)-2}{4} } + 3$

Replace x by $f^{-1}(x)$ and replace f(x) by x

$f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3$

Therefore, the inverse of the function is:

$f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3$

Learn more here: brainly.com/question/17285960

4 0

2 years ago

Can someone please help me!

Sindrei [870]

Answer:

The Answer is x=6 2/3

Step-by-step explanation:

The Area of a triangle is A= 1/2 bh, so we should think of the triangle as half of a square/rectangle. This means the total area of the theoritical Square is 400 sq ft. We then figure out this equation:

12 * 5x = 400

400/12 = 5x

80/12 = x which is equal to 6 2/3.

Hope this helps!

5 0

4 years ago

Solve -3(-2x+20)=-8(x+12)+92 please?

sveta [45]

The answer is x=4 hope it helps

8 0

3 years ago

A scale on a blue print drawing of a house shows that 6 centimeters represents 3 meters. What number of centimeters on the blue

Tema [17]

Answer:

54 cm

Step-by-step explanation:

Measures are proportional on a scale drawing:

drawing measure : actual measure = 6 cm : 3 m = x : 27 m

The value on the right of the x ratio, 27, is 9 times 3, so the value of x will be 9 times 6 cm.

54 cm on the blueprint represents an actual distance of 27 meters.

5 0

3 years ago

Write in standard notation. 6.9 × 10^-3

Dafna1 [17]

0.0069

Step-by-step explanation:

6.9 move the decimal 3 places to the left

8 0

4 years ago