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2 years ago

8

What is the inverse of 2(x+4)^2+8

1 answer:

Sedaia [141]2 years ago

3 0

Find the inverse, interchange the variables to solve for y
f-1 (x)=- $\frac{8- \sqrt[]{_2(-8+x)} }{2} ,$ $\frac{8+ \sqrt{2(-8+x)} }{2}$

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Figure ABCD is a parallelogram with point C (3, -2). What rule would rotate the figure 90 degrees clockwise, and what coordinate

WITCHER [35]

Coordinates of C ( 3, - 2 ). After the rotation for 90° clockwise new coordinates would be C ` ( - 2, - 3 ).
Answer:
B ) ( x , y ) → ( y, -x ) ; C`( -2, - 3 )

4 0

2 years ago

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Janeverything spent $42 for shoes this was $14 less than twice what she spent for a blouse how much was the blouse

alekssr [168]

Let x be the price of the blouse.
42=2x-14
56=2x
28=x

The blouse was $28

8 0

3 years ago

A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u

Kryger [21]

Given: $f(x) = \frac{1}{x-2}$

$g(x) = \frac{2x+1}{x}$

A.)Consider

$f(g(x))= f(\frac{2x+1}{x} )$

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

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

$f(\frac{2x+1}{x} )=\frac{x}{1}$

$f(\frac{2x+1}{x} )=1$

Also,

$g(f(x))= g(\frac{1}{x-2} )$

$g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{x }{1}$

$g(\frac{1}{x-2} )= x$

Since, $f(g(x))=g(f(x))=x$

Therefore, both functions are inverses of each other.

B.

For the Composition function $f(g(x)) = f(\frac{2x+1}{x} )=x$

Since, the function $f(g(x))$ is not defined for $x=0$ .

Therefore, the domain is $(-\infty,0)\cup(0,\infty)$

For the Composition function $g(f(x)) =g(\frac{1}{x-2} )=x$

Since, the function $g(f(x))$ is not defined for $x=2$ .

Therefore, the domain is $(-\infty,2)\cup(2,\infty)$

8 0

3 years ago

Lemur [1.5K]

Answer:

B. 74 / 100

Explanation:

I got it right on the test :)

8 0

2 years ago

What value do you square to get 9?

Dominik [7]

Answer:

3 or -3

Step-by-step explanation:

What number multiplied by itself will give you 9

1*1 =1

2*2 =4

3*3 =9

Also note that negative times negative will be positive so

-1*-1=1

That means -3*-3 = 9

4 0

2 years ago

Read 2 more answers