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german
2 years ago
12

Select the correct answer.

Mathematics
1 answer:
fomenos2 years ago
7 0

The inverse function of f(x) is f^{-1}(x) = \sqrt{x - 6} and the domain is x > 6

<h3>How to determine the inverse function?</h3>

The function is given as:

f(x) = x^2 + 6

Rewrite as:

y = x^2 + 6

Swap x and y

x = y^2 + 6

Subtract 6 from both sides

y^2 = x - 6

Take the square root

y = \sqrt{x - 6}

Rewrite as:

f^{-1}(x) = \sqrt{x - 6}

Hence, the inverse function of f(x) is f^{-1}(x) = \sqrt{x - 6} and the domain is x > 6

Read more about inverse function at:

brainly.com/question/2541698

#SPJ1

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Line segmentAB has vertices A(−3, 4) and B(1, −2) . A dilation, centered at the origin, is applied to AB⎯⎯⎯⎯⎯ . The image has ve
zysi [14]

Answer:

The scale factor is

\frac{1}{3}

Step-by-step explanation:

Line segmentAB has vertices A(−3, 4) and B(1, −2) .

A dilation, centered at the origin, is applied to AB. The image has vertices

A'(-1,4/3) and B′(1/3, −2/3) .

We know the rule for dilation by scale factor of k, is

(x,y)\to(kx,ky)

This means that;

A(-3,4)\to A'(-3k,4k)

But we know, A' has coordinates (-1,4/3)

This means that

- 3k =  - 1

k =  \frac{1}{3}

We could also compare:

4k=4/3

Which gives

k=⅓

5 0
3 years ago
Read 2 more answers
An athlete earns $350,000 each year. If his team makes the play-offs, he will earn a 15% bonus. What will be his total earnings
Komok [63]
15% of $350,000 is $52,500. so you add $52,500 to $350,000 and you get $402,500
4 0
3 years ago
Find the quotient of these complex numbers.
stich3 [128]

9514 1404 393

Answer:

  C.  (45+11i)/29

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  \dfrac{5-7i}{2-5i}=\dfrac{(5-7i)(2+5i)}{(2-5i)(2+5i)}=\dfrac{(5)(2)+(-7i)(5i) +(5)(5i)+(-7i)(2)}{2^2+5^2}\\\\=\dfrac{(10+35)+(24-14)i}{29}=\boxed{\dfrac{45}{29}+\dfrac{11}{29}i}

8 0
3 years ago
What does the quadratic function f(x)=x^2-10x+9 look like when it is rewritten in the form f(x) = a (x-h) + k
Tatiana [17]

ANSWER

When f(x)=x^2-10x+9 is written in the form f(x)=a(x-h)^2+k, it looks like f(x)=(x-5)^2-16


EXPLANATION

To write  f(x)=x^2-10x+9 in the form f(x)=a(x-h)^2+k, we have to complete the squares.


We add and subtract half the coefficient of x square.


f(x)=x^2-10x+(-5)^2-(-5)^2+9


The first three terms of the function is now a perfect square.

f(x)=(x-5)^2-25+9

We now simplify rto obtain,

\Rightarrow f(x)=(x-5)^2-16





6 0
4 years ago
Write the number that matches the clues
almond37 [142]
290.

We know that the hundreds is two already.
The tens digit is 9 more than the ones digit, but since a digit can't be more than 9, the ones must be 0.

So the tens is 9 and the ones place is 0. Hopes this helps :)
8 0
3 years ago
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