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
Vlad [161]
3 years ago
7

Write the inverse function for the function, ƒ(x) =1/2x + 4. Then, find the value of ƒ^ -1(4). Type your answers in the box.

Mathematics
1 answer:
Kipish [7]3 years ago
4 0

Answer:

f⁻¹(x) = 2x - 8

f⁻¹(4) = 2 × 4 - 8

f⁻¹(4) = 0

Step-by-step explanation:

f(x) = \frac{1}{2} x + 4\\x = \frac{1}{2} f^{-1}(x) + 4\\x - 4 = \frac{1}{2} f^{-1}(x)\\2x - 8 = f^{-1}(x)\\f^{-1}(x) = 2x - 8

Let's test it

f^{-1}(f(x)) = 2(f(x)) - 8\\f^{-1}(f(x)) = 2( \frac{1}{2}x + 4) - 8\\f^{-1}(f(x)) = \frac{2}{2}x + 8 - 8\\f^{-1}(f(x)) = x

So we do indeed have the inverse function, so using that we can plug in the values requested:

f⁻¹(x) = 2x - 8

f⁻¹(4) = 2 × 4 - 8

f⁻¹(4) = 0

You might be interested in
I will give you 50 if you helped me thanks
Nimfa-mama [501]

Answer:

it's 40!

10 x 10 = 100

10 x 4 = 40

6 x 10 = 60

and 6 x 4 = 24 !!

5 0
2 years ago
Read 2 more answers
B. The sum of 3 and a number is -2, what is the number?
kondaur [170]
theeeeeeeee answer is -5
7 0
3 years ago
a square is cut from rectangle the side length of the square is half of the unknown with W the area of the Shaded region is 84 s
Brilliant_brown [7]

Answer:

Step-by-step explanation:

Just give me the answer

6 0
3 years ago
Find the slope of the line that passes through each pair of points (13,-3),(-5,-5)
PIT_PIT [208]

Answer:

\boxed{\bold{\frac{1}{9} }}

Explanation:

(13,-3), (-5,-5)

<u>Find The Slope:</u>

<u />\bold{\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}}<u />

<u />\bold{\left(x_1,\:y_1\right)=\left(13,\:-3\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-5\right)}<u />

<u />\bold{m=\frac{-5-\left(-3\right)}{-5-13}}<u />

<u />\bold{ \ m \ = \ \frac{1}{9} }<u />

3 0
3 years ago
Helpp what is the y- value when x equals 21? y = 650 - 16 (x)
11111nata11111 [884]

Answer:

y = 314

Step-by-step explanation:

y = 650 - 16x

y = 650 - 16(21)

y = 650 - 336

y = 314

6 0
3 years ago
Other questions:
  • A school contains 357 boys and 323 girls.
    13·1 answer
  • Solve the following equation for X: 1/2(5x+12)=2x-3 show your work
    14·1 answer
  • F(x)=3/x+2-√x-3 f(7)=
    15·1 answer
  • How can you use the GCF of the numerator and the denominator to write a fraction in simplest form?
    9·1 answer
  • 8/6 = x + 2/32<br><br>Solve for X <br><br>Show work and answer can't be put into decimal form
    12·1 answer
  • (30 points for answering! If you show steps I will give brainliest!)
    7·1 answer
  • What is m&lt;DBA=m&lt;3+m&lt;2
    14·1 answer
  • What is the equation of the line that passes through the point (3, -8) and has a<br> slope of 0?
    8·2 answers
  • Which of the question below could be the equation of this parabola ?
    15·1 answer
  • 7 yards and 2feet equals how many feet?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!