1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Taya2010 [7]
2 years ago
15

What is f–1(8)?? Please select the best answer

Mathematics
2 answers:
notka56 [123]2 years ago
5 0

Answer:

f^{-1}(8)=\frac{3}{2}

Step-by-step explanation:

Given f(x)=2x+5

We have to find f^{-1}(8)

In order to find f^{-1}(x) we have to make x as the subject of the formula

Let us assume f(x)=y

⇒2x+5=y

Subtracting both sides by 5

2x+5-5=y-5

2x=y-5

Dividing both sides by 2

\frac{2x}{2}=\frac{y-5}{2}

⇒x=\frac{y-5}{2}

Now substituting y with x

we have f^{-1}(x)=\frac{x-5}{2}

Now f^{-1}(8)=\frac{8-5}{2}

=\frac{3}{2}

So option (ii) is correct


Lynna [10]2 years ago
3 0

Answer:

Choice B is correct answer.

Step-by-step explanation:

From question statement , we observe that

A function is given and we have to find inverse of this function. Then, we have to find the f⁻¹(8).

f(x) = 2x+5

put f(x) = y in above equation, we get

y = 2x+5

adding -5 to both sides of above equation,we get

y-5 = 2x+5-5

y-5 = 2x

dividing by 2 to both sides of equation,we get

y-5 / 2 = 2x/ 2

y-5 / 2 = x

swapping equation,we get

x = y-5 / 2

put f⁻¹(y) = x in above equation,we get

f⁻¹(y) = y-5 / 2

replace y with x in above equation

f⁻¹(x) = x-5 / 2

we have to find  f⁻¹(8) .

putting x = 8 in above equation,we get

f⁻¹(8) = 8-5/2

f⁻¹(8) = 3/2 which is the answer.

You might be interested in
Write an explicit equation for the arithmetic sequence<br> 3,7,11,15,19
Serggg [28]

Answer:

Arithmetic Sequence:  

d=4

Step-by-step explanation:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding  4 o the previous term in the sequence gives the next term. In other words, aₙ=a₁+d(n-1)

6 0
3 years ago
How many different arrangements are there of the letters a, b, c, d, e, f for which e is not last in line?
Olegator [25]
Hmm, there are 5 letters


if you cannot repeat the letters
hmm, let's find how many for 4 letters
there are 4! or 4*3*2*1=24
that's how many ways there are to arrange a,b,c, d
now we can multiply it by 4 because there are 4 choices for the last place (e is not included0
24*4=56
answer is 56 different arrangements
6 0
3 years ago
Which fraction is not equivalent to 30/48 ?
laiz [17]
C and D.If I'm right,can u make me the brainliest answer?Thank You.
7 0
2 years ago
Read 2 more answers
-2 1/2 * (1 2/3) = what?
TiliK225 [7]

Answer:

4.16

Step-by-step explanation:

Mixed Number = 4 1/6

Decimal = 4.16

Fraction = 4.1666666

Percentage = 416%

7 0
2 years ago
Read 2 more answers
Use the equation below to find c, if a = 43 and b = 49. c=180-a-) ?​
Luden [163]

Answer:

88

Step-by-step explanation:

43 + 49= 92.

Then 180 - 92= 88

C= 88

7 0
3 years ago
Other questions:
  • Can you guys plz help me???? p.s can u show the work
    7·1 answer
  • How do the graphs of f(x)=x^3 and g(x)=(1/3x)^3 relate?
    12·2 answers
  • Write an equation of a line that goes.through point (0,1) and has.a.slope of 0
    13·1 answer
  • In algebra please help thank you
    8·1 answer
  • Juliea puts 1+1 equals 11 is this true or false?​
    9·2 answers
  • 34 down, 16 left to go!
    15·1 answer
  • 1 1/4 is too 1/4 as 2 is to?
    5·1 answer
  • Which of the figures appear to to congruent
    10·1 answer
  • Please help I am very behind on my math
    13·2 answers
  • Sara is going to home depot to buy some plants for her back yard. The price of 4 rose bushes is $12 and the price of 5 tulips is
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!