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
gregori [183]
2 years ago
8

If g(x) is the inverse of f(x), what is the value of f(g(2)?

Mathematics
2 answers:
erica [24]2 years ago
7 0
<h3>Answer:  C) 2</h3>

============================================================

Explanation:

g(x) is the inverse of f(x), which tells us that g undoes everything f(x) does.

If we input x = -6 then f(x) outputs 1

g(x) then reverses this to say that g(1) = -6. The inputs and outputs swap roles.

Moving to row 2, we see that f(-3) = 2 which reverses to g(2) = -3

We'll replace the g(2) with -3 to go from

f( g(2) )

to

f( -3 )

-3 isn't the answer, but I wanted to put it in bold to show how the replacement is happening.

From the table, we see that f(-3) = 2 which is the final answer

In other words, f(g(2)) = 2

------------------------------

Side note:

We can say that f(g(x)) = x for any number x in the domain of g(x).

As another example, g(3) = 5 and f(g(3)) = f(5) = 3.

The same works the other way around meaning that g(f(x)) = x.

SashulF [63]2 years ago
3 0

Answer:

C. 2

hope it helps :)

You might be interested in
Find a number C such that the polynomial p(x)= -x+4x^2+Cx^3-8x^4
Ksenya-84 [330]

Answer:

C = 2

Step-by-step explanation:

p(x)= -x+4x^2+Cx^3-8x^4 \\  \\  \because \: given \: polynmial \: has \: zero \: at \: \\x =  \frac{1}{4}  \\  \\  \implies \: p\bigg(\frac{1}{4}  \bigg) = 0...(1) \\  \\ plug \: x = \frac{1}{4} \:  in \: p(x) \: we \: find \\  \\ p \bigg(\frac{1}{4}  \bigg)  =  - \frac{1}{4} + 4  {\bigg(\frac{1}{4} \bigg)}^{2}  + c  {\bigg(\frac{1}{4} \bigg)}^{3}  - 8  {\bigg(\frac{1}{4} \bigg)}^{4}  \\  \\ 0 = - \frac{1}{4} + \cancel 4 \times   {\frac{1}{\cancel{16} } }  + c  {\bigg(\frac{1}{64} \bigg)}  - \cancel 8  \times  \frac{1}{\cancel{256} }  \\  \\0 =\cancel{ - \frac{1}{4}} + \cancel  {{\frac{1}{4} }}  + c  {\bigg(\frac{1}{64} \bigg)}  -  \times  \frac{1}{32}  \\  \\0 =  c  {\bigg(\frac{1}{64} \bigg)}  -  \frac{1}{32}  \\  \\c  {\bigg(\frac{1}{64} \bigg)} = \frac{1}{32}   \\  \\ c = \frac{1}{32}   \times 64 \\  \\ c = 2

5 0
3 years ago
How can you tell that the inequality 3t+1&gt; 3t + 2
lutik1710 [3]

Answer:

see below

Step-by-step explanation:

3t+1> 3t + 2

Subtract 3t from each side

1>2

This is never true so there is no solution

Since the variable terms are the same, we only have to look at the constants

6 0
2 years ago
How does knowing the double 6+6=12 help solve the near double 6+7=13?
Yakvenalex [24]

Because, if 6 + 6 = 12, then in 6 + 7, 7 can be splitted into 6 + 6 + 1, and so you find it easier...!!

7 0
3 years ago
6) Given the midpoint of segment KL ISM endpoint K ? (1, - 1)(8, - 7) . What are the coordinates of the other
Rudik [331]

Answer:

Step-by-step explanation:

Fitgsnmcdj agbshxtxi gxfhv

3 0
3 years ago
The equation p=1.5r graphed find price p, in dollars for r pounds of rice
disa [49]

Answer:

Hope that help you mark me brinilylist

Step-by-step explanation:

Given that 5 pounds of rice at a store cost $6.50.

Then 1 pound of rice at a store cost = $6.50/5= $1.3

So the equation for the cost can be written as:

C=1.3P just like we write equation y=mx

Now we have to graph the cost C, vs pounds of rice.

Variable for Pounds of rice is not given so let it be "P"

So let's make a table for the number of pounds (P) and cost (C)  we can graph the points from that table to get the final graph.

The Attached graph is the final graph.

3 0
2 years ago
Other questions:
  • Find the length of KNJ
    11·1 answer
  • Determine the quadrant in which the given angle terminates with negative numbers
    6·1 answer
  • Suppose the primes p and q used in the rsa algorithm are consecutive primes. how would you factor n
    6·1 answer
  • What is the answer
    12·1 answer
  • -4(w+1)=-24<br><br> what does w equal?
    13·2 answers
  • Cos(theta)= -.9041, 180degress&lt; theta &lt;270degress
    9·1 answer
  • Find the area of the circle. Use 3.14<br> 42 mm
    5·2 answers
  • Suppose<br> f(x) = x3 + 3. Find the graph of<br> 2<br> f<br> 3<br> х
    5·2 answers
  • SOME HELP PLSS THANK U
    5·1 answer
  • Given that the point (1,2) lies on y = f(x), find the corresponding point on the image function of y = 3f(2x).
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!