What is 5% of 20? I need help

What is the inverse of f(x)=(-2x+2)/(x+7)?

Nana76 [90]

By applying the concept of the inverse of a function and algebraic handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

<h3>How to find the inverse of a function</h3>

In this question we have a rational function f(x) and finding its inverse consists in clearing x in terms of f(x). Prior any algebraic handling, we need to apply the following substitutions:

$x \to y$

$f(x) \to x$

$x = \frac{-2\cdot y + 2}{y+7}$

x · (y + 7) = - 2 · y + 2

x · y + 7 · x = - 2 · y + 2

2 · y + x · y = - 7 · x + 2

y · (2 + x) = - 7 · x + 2

$g(x) = \frac{- 7\cdot x + 2}{x + 2}$

By applying the concept of the inverse of a function and algebraic handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

To learn more on inverses: brainly.com/question/7181576

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4 0

1 year ago

Really need this todayyyyyy

Bond [772]

Answer:

Q3: x1=2+i, x2=2-i Q4: x1=-3/2+i, x2=-3/2-i

Step-by-step explanation:

$x^{2} - 4x + 5 =0$

( $4$ ± $\sqrt{16 - 4*1*5}$ ) / $2$ = (

x1= 2+i

x2= 2-i

$2x^{2} +6x + 5 =0$

( $-6$ ± $\sqrt{36 - 4*2*5}$ ) / $4$ = (-6 ± $\sqrt{-4}$ )/4= (-3 ± i)/2

x1 = -3/2 +i

x2 = -3/2 -i

7 0

3 years ago

Read 2 more answers

Thanks in advance if you help me!

8090 [49]

D) Definition of Equilateral Triangle
e) Vertical Angles
f1) ΔTVS ≅ ΔUVR
f2) Side Angle Side Postulate
g) Definition of Congruent Triangles

Hope that helps!

4 0

3 years ago

122 - 4(6) +1 112p hellllllp

Rasek [7]

Answer:

99

Step-by-step explanation:

U will do the one outside first

122+1-4(6)

=123-24

= 99

7 0

2 years ago

Which 2 equations would you use to solve this system?

slega [8]

Answer:

x-y=4

and

x+y=32 is your equation

difference of two number =x-y is equal to 4

sum of two number=x+y is equal to 32

x-y=4.......(1)

x+y=32.......(2)

adding equation 1 and 2

x-y +x+y=4+32

2x=36

x=36/2=16answer

substituting value of y in equation 1

16-y=4

16-4=y

y=12 answer

4 0

2 years ago