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
Nostrana [21]
3 years ago
14

For the function f (x) = 3 (x + 7), find -1().

Mathematics
1 answer:
AlekseyPX3 years ago
5 0

Given:

The function is f(x)=3(x+7)^{\frac{1}{4}}.

To find:

The function f^{-1}(x).

Solution:

We have,

f(x)=3(x+7)^{\frac{1}{4}}

Substitute f(x)=y.

y=3(x+7)^{\frac{1}{4}}

Interchange x and y.

x=3(y+7)^{\frac{1}{4}}

Divide both sides by 3.

\dfrac{x}{3}=(y+7)^{\frac{1}{4}}

Taking power 4 on both sides.

\left(\dfrac{x}{3}\right)^4=y+7

Subtract 7 from both sides.

\left(\dfrac{x}{3}\right)^4-7=y

y=\left(\dfrac{x}{3}\right)^4-7

Substitute y=f^{-1}(x).

f^{-1}(x)=\left(\dfrac{x}{3}\right)^4-7

Therefore, the correct option is C.

You might be interested in
Evaluate and match each expression on the left to its value on the right, when x = 9 and y = 6.
kolezko [41]
Answers: 12-x=3 | x+3y=27 | 4y-10=14 | 1/3xy=18

Explanation: x=9 and y=6
12-(9)=3 | (9)+3(6)=27 | 4(6)-10=14 | 1/3(9)(6)=18

5 0
3 years ago
I need help please help me
charle [14.2K]

Answer:

umm i think its c

Step-by-step explanation:

6 0
3 years ago
A) 3<br> B) 0<br> C) -3<br> Answer the question in the image below, Thank you!
7nadin3 [17]
The answer to this question is B) 0
6 0
3 years ago
Read 2 more answers
Drag each tile to the correct location. Each tile can be used more than once, but not all tiles will be used.
AysviL [449]

Answer:

y=770-55x --- given

y - 770 = 770 - 55x - 770 ----subtraction property of equality

y = -55x + 770 ---Simplification

y-770/-55 = -55x/-55 --- Division property of equality

-y-770/55=x---Simplification

Step-by-step explanation:

6 0
3 years ago
Katie's bank statement shows a closing balance of $178.11. There are no outstanding checks or deposits. Her checkbook shows a ba
castortr0y [4]
Overdraft fee in the amount of 20.00
7 0
3 years ago
Read 2 more answers
Other questions:
  • Need help with this question
    8·2 answers
  • Can someone please help me with this
    15·1 answer
  • I need to model 2 equivalent fractions for 6 fifths
    6·1 answer
  • Starting at home, Emily traveled uphill to the hardware store for 60 minutes at just 6 mph. She then traveled back home along th
    15·2 answers
  • Estimate the total number of books at Woodside
    12·1 answer
  • ASAP Right answer only please??!!!!
    14·1 answer
  • Un capital de $10 000 se coloca a una tasa anual de interés compuesto del 6% durante 3 años. Determinar el interés generado Si l
    6·1 answer
  • Solve for x -10 + x = -12
    15·2 answers
  • Given: ABCE is a rectangle. D is the midpoint of segment C E.
    9·1 answer
  • Find the value of x.<br> 20<br> Х<br> 16<br> 24
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!