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
Grace [21]
3 years ago
9

Which function represents the inverse function of the function f(x)= x^2+5

Mathematics
2 answers:
zhuklara [117]3 years ago
8 0

The inverse function : f^{-1}(x)=\sqrt{x-5}

<h3>Further explanation</h3>

A ƒunction can be expressed in the form of a cartesian diagram, sequential pairs, or arrow diagrams  

If a ƒunction (f) pairs members of set A to set B, then the inverse of ƒunction f (f⁻¹) pairs members of set B to A, or easily f⁻¹ is the opposite of f  

or in the form of equations  :

f (x) = y if and only if g (y) = x  

g (y) is called the inverse of f (x)  

The step for determining the inverse ƒunction  

1. expresses the ƒunction y = f (x) in the form x = f (y)  

2. f⁻¹(y) = g(y)  

3. Replace the letter y with x so we get the inverse ƒunction formula f⁻¹(x)  

Known :  

f (x) =x² +5  

suppose f (x) = y then  

y = x² +5  

x ² = y-5

\displaystyle  x=\sqrt{y-5}\\\\f^{-1}(y)=\sqrt{y-5}\\\\f^{-1}(x)=\sqrt{x-5}

<h3>Learn more</h3>

the inverse of the function f(x) =2x-10

brainly.com/question/628130

Keywords : function, invers

#LearnWithBrainly

Katen [24]3 years ago
5 0

Answer:

f^{-1}(x)=(+/-)\sqrt{x-5}

Step-by-step explanation:

we have the function

f(x)=x^{2} +5

Let

y=f(x)

y=x^{2} +5

step 1

Exchange the variables, x for y and y for x

x=y^{2} +5

step 2

Isolate the variable y

Subtract 5 both sides

x-5=y^{2}

step 3

Take square root both sides

y=(+/-)\sqrt{x-5}

step 4

Find the inverse

f^{-1}(x)=y

so

f^{-1}(x)=(+/-)\sqrt{x-5}

You might be interested in
Find the requested values pleasee and also what m
zheka24 [161]
Total of angles in 180 so:
46+90+8x+4=180
8x=40
x=5
7 0
3 years ago
A drawbridge will sometimes open up to let boats and other water traffic pass through. As it opens, the surface of the drawbridg
olasank [31]
16.6 meters D on apex

3 0
3 years ago
Read 2 more answers
a father is 10 times as old as his son. in 5 years he will be 5 times as old as his son. how old is the father and the son now
inn [45]

Answer:

The father is 40 and the son is 4.

Step-by-step explanation:

40 + 5 = 45.

4 +5=9.

45 divided by 5 = 9

5 0
3 years ago
The line of reflection is blank and the coordinates of C' are blank ?
denpristay [2]

Answer:

I did this before it is C

Step-by-step explanation:

4 0
3 years ago
F(x) = x/4 - 3
Ilya [14]
First plug in the equations, then simplify/cancel out terms until you get the answer

4 0
2 years ago
Other questions:
  • Consider the polynomial 16x2 – 1. What is the value of ac? What is the value of b? What two numbers multiply to get ac and add t
    11·2 answers
  • 3
    5·1 answer
  • Find the surface area
    6·1 answer
  • Me Ramirez bought 1/4 pounds of cashews. He divided the cashews equally among his 3 children. How much did each child get?
    15·1 answer
  • Which equation is an identity?
    10·2 answers
  • Are the square Park is 42.25 cm².find the length of one side of the park​
    15·1 answer
  • Find the quotient of 5/31 divided by 15/23
    8·1 answer
  • when this 3 digit number is rounded to the beater hundred it rounds to 900 .the digit in the ones place is the fifth odd number
    12·1 answer
  • ½ sejam berapa minit?​
    10·2 answers
  • Round 1244 to the nearest thousand
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!