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
german
3 years ago
8

Given the function f(x)=3x^2+2 is f^-1(x) a function

Mathematics
1 answer:
vova2212 [387]3 years ago
6 0

Answer:

f^-1(x) is a function

Step-by-step explanation:

To get the inverse you replace f(x) with y, so you get y=3x^2+2. Then you switch your x and y to get x=3y^2+2. Now you want to solve for y, so you subtract two to get x-2=3y^2. You then divide both sides by 3 to get (x-2)/3=y^2. Finally you square root both sides to get y=√((x-2)/3). Now you get that f^-1(x)=√((x-2)/3). When you graph it you can see that the graph passes the vertical line test, so f^-1(x) is a function.

You might be interested in
Simplify the Expression: 3(x - y + 5)
sveta [45]

Answer:

3x - 3y + 15

Step-by-step explanation:

Multiply everything inside the parenthesis by the outside number.

3 times X gives us 3x

3 times -Y gives us -3y

3 times 5 gives us 15

6 0
3 years ago
Somebody please help me with this geometry work
dimulka [17.4K]

Answer:

m∠EGF = 65°  and m∠CGF = 115°

Step-by-step explanation:

Given;

∠EFG = 50°

EF = FG

Solution,

In ΔEFG m∠EFG = 50° and EF = FG.

Since triangle is an isosceles triangle hence their base angles are always equal.

∴m\angle FEG = m\angle EGF

Let the measure of ∠EGF  be x.

∴ m\angle FEG = m\angle EGF = x

Now by angle Sum property which states "The sum of all the angles of a triangle is 180°."

m∠EFG + m∠FEG + ∠EGF = 180

50\°+x+x=180\°\\50\°+2x=180\°\\2x= 180\°-50\°\\2x=130\°\\x=\frac{130}{2}= 65\°

Hence

m∠EGF = 65°  

Also 'The sum of angles that are formed on a straight line is equal to 180°."

m∠EGF + m∠CGF = 180°

65° + m∠CGF = 180°

m∠CGF = 180° - 65° = 115°

Hence m∠EGF = 65°  m∠CGF = 115°

8 0
3 years ago
Marina correctly simplified the expression Start Fraction negative 4 a Superscript negative 2 Baseline b Superscript 4 Baseline
Pavlova-9 [17]

Answer: Marina should have applied the power of a power rule and multiplied the exponents instead of adding them. The simplified form should be j to the 16th power.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Heidi wants to estimate how many pounds of cat food her cats eat in one year.Which of the following would be the best strategy?
hoa [83]
The answer is the option a. Count the days it takes the cats to finish a 3.5 - pound bag of cat food, divide 3.5 by that number of days; multiply the result by 365<span>. When you divide 3.5 pounds by the number of days, you get the average number of pounds that the cats eat per day. Then, when you multiply the average number of pounds that the cats eat per day times 365, you get the number of pounds that the cats eat in 365 days, which is the same that saying in a year. </span>
4 0
4 years ago
Please help me ASAP
allsm [11]

Answer:

Step-by-step explanation:

by inspection.. just looking at the graph

slope = - 1/2    (called m )

Y-intercept is at 1

line equation is then

y= mx + b

y= -1/2x +1  

:)

6 0
3 years ago
Other questions:
  • hana paid 1,200 for the carpet in her living room. the room has an area of 251.2 square feet. what was her unit cost of carpetin
    15·1 answer
  • A quadratic function has one zero (x-intercept) at x = -5 and another zero at x = 3. What is the equation of the axis of symmetr
    10·1 answer
  • In the school library, there are 110 fiction books, 250 nonfiction books, and 125 magazines. The ratio of fraction books to maga
    10·1 answer
  • Without computing, select all of the expressions that have the same value as 81. (37 + 59).
    11·2 answers
  • Mrs. Mack teaches three art classes, and there are 30 students in each class. She has a supply
    8·1 answer
  • Solve for r.<br><br> I=P(1+rt)
    10·1 answer
  • 128x³y⁴-56x²y²-72x⁴y² by 16x²y
    15·1 answer
  • Write 4/5 as an equivalent fraction in 3 different forms.
    11·1 answer
  • Chef rob makes salad at the restaurant . The ratio of tomato’s to cucumbers in each salad is 2:4. What is the amount of tomato’s
    11·2 answers
  • KITE is a kite.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!