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ANEK [815]
2 years ago
14

What is the inverse of the function f(x) = 2x + 1?

Mathematics
2 answers:
timama [110]2 years ago
5 0

Answer:

  (a)  h(x) = 1/2x -1/2

Step-by-step explanation:

The inverse of the function y = f(x) is found by solving x = f(y).

__

<h3>setup</h3>

  x = f(y)

  x = 2y +1 . . . . . . use the definition of f(x)

<h3>solution</h3>

  x -1 = 2y . . . . . subtract 1

  (x -1)/2 = y . . . . divide by 2

  y = 1/2x -1/2 . . . . eliminate parentheses

  h(x) = 1/2x -1/2 . . . write in functional form

The inverse of f(x) = 2x+1 is ...

  h(x) = 1/2x -1/2

olya-2409 [2.1K]2 years ago
5 0

Step-by-step explanation:

for the inverse function we simply try to turn y and x around, and find the equation that calculates x out of y instead of y out of x.

remember,

f(x) = y

so, we have

y = 2x + 1

y - 1 = 2x

x = y/2 - 1/2

now we just rename x to y and y to x to make this a "normal" function :

y = h(x) = x/2 - 1/2

so, the first answer option is correct.

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I need to solve for x and y. Any help is greatly appreciated! Thank you!
Inessa05 [86]

x=-3, y=1

Step-by-step explanation:

Given equations are:

2x-3y=-9     Eqn 1

x+y = - 2      Eqn 2

From eqn 2:

x=-y-2

Putting x=-y-2 in eqn 1

2(-y-2)-3y=-9\\-2y+4-3y=-9\\-5y-4=-9\\Adding\ 4\ on\ both\ sides\\-5y-4+4=-9+4\\-5y=-5\\Dividing\ both\ sides\ by\ -5\frac{-5y}{-5}=\frac{-5}{-5}\\y=1\\Putting\ y=1\ in\ eqn\ 2\\x+1=-2\\Subtracting\ 1\ from\ both\ sides\\x+1-1=-2-1\\x=-3

Hence,

x=-3, y=1

Keywords: Linear equations, Variables

Learn more about linear equations at:

  • brainly.com/question/4034547
  • brainly.com/question/4054269

#LearnwithBrainly

3 0
3 years ago
Tom’s total payment for his loan was $14,256 he paid it off at making 48 monthly payments what was his monthly payment
iragen [17]

Answer:

The monthly payments = $ 297

Step-by-step explanation:

It is given that,Tom’s total payment for his loan was $14,256 he paid it off at making 48 monthly payments

<u>To find the monthly payments</u>

we have,

Total payment = $14256

Number of monthly  payments = 48

Monthly payments = 14256/48 = 297

Therefore Tom's monthly payments  of his loan = $ 297

6 0
3 years ago
The soccer team at your school wants to spray paint a design on the middle of the playing field. the design will include this so
stiks02 [169]
Hmm that’s tuff I have no idea
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2 years ago
A factory makes candy bars and ships them in cases
il63 [147K]

Answer:

b, 24 bars per box

Step-by-step explanation:

you just tale 144÷6

8 0
3 years ago
PLZZZ help with this its pretty simple!
AURORKA [14]

Answer:

Three terms, which makes this expression a trinomial.

5x²-4x -12

Step-by-step explanation:

(5x + 6)(x-2)

5x² -10x + 6x -12

5x²-4x -12

4 0
2 years ago
Read 2 more answers
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