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mamaluj [8]
3 years ago
7

How can you restrict the domain of the function f(x)=|x+4|-2 so the range of the inverse function f^-1(x),is [-4, )

Mathematics
1 answer:
wariber [46]3 years ago
5 0

The range of the inverse has to match the domain of the original function. We want to have f^{-1}(x) map to [-4,\infty), so we restrict the domain of f(x) to this interval.

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What is the minimum value of the function g(x) = x2 - 6x – 12?<br> -21<br> 3-21<br> 3<br> 3+21
balandron [24]

Answer:

- 21

Step-by-step explanation:

The minimum value occurs at the vertex of the function

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

Given

f(x) = x² - 6x - 12

add/ subtract ( half the coefficient of the x- term)² to x² - 6x

f(x) = x² + 2(- 3)x + 9 - 9 - 12

     = (x - 3)² - 21

with vertex = (3, - 21 )

The minimum is the value of k, that is minimum value = - 21

4 0
3 years ago
Find the inverse of the function y = 3x + 5 Find the inverse of the function y=3x+5​
Viktor [21]

Answer:

First Inverse function= f^-1(x)=x/3-5/3

Second Inverse function=f^-1(x)=x/3-5/3

Step-by-step explanation:

4 0
2 years ago
There are 80 dogs and cats in the animal shelter. The ratio of dogs to cats is 5/11. How many of the animals are dogs
Dima020 [189]

Answer:

25 dogs and 55 cats

Step-by-step explanation:

5/11 ratio, first add those up which you get 16

Then divide the total amount of animals by the ratio-80

80/16 = 5

(5*5)/(11*5)

25 dogs and 55 cats

4 0
3 years ago
Show away to count from 668to900 using ones,ten,and hundred
sweet [91]
Not sure what you mean, exactly, but Ill try.

668, using 2 ones, go to 670. Using 3 tens, go to 700. Using 2 hundreds get to 900. Hope this helped :)
5 0
3 years ago
The algebra symbol f(n) means what?
JulijaS [17]

Answer:

it means y

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8 0
3 years ago
Read 2 more answers
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