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
Natalka [10]
2 years ago
8

please help me, im stuck and i do not understand what i need to do, answer the question in the picture please

Mathematics
1 answer:
tino4ka555 [31]2 years ago
4 0

Answer:

x = - \frac{1}{4}

Step-by-step explanation:

To find f(g(x)) substitute x = g(x) into f(x), that is

f(g(x))

= f(x + 1)

= 2(x + 1)² ← expand using FOIL

= 2(x² + 2x + 1) ← distribute

= 2x² + 4x + 2

To find g(f(x)) substitute x = f(x) into g(x), that is

g(f(x))

= g(2x²)

= 2x² + 1

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

Equating  gives

2x² + 4x + 2 = 2x² + 1 ( subtract 2x² + 1 from both sides )

4x + 1 = 0 ( subtract 1 from both sides )

4x = - 1 ( divide both sides by 4 )

x = - \frac{1}{4}

You might be interested in
Use the Pythagorean Theorem to determine if the three numbers could be the measures of the sides of a right triangle. Assume tha
Mekhanik [1.2K]
I'm pretty sure the answer is yes
4 0
3 years ago
What is the solution set of this inequality?
Gnoma [55]

Answer:

A.

x\ge \:4

Step-by-step explanation:

8(x-5) -3x\geq -20\\\\\mathrm{Expand\:}8\left(x-5\right)-3x:\quad 5x-40\\\\5x-40\ge \:-20\\\\\mathrm{Add\:}40\mathrm{\:to\:both\:sides}\\\\5x-40+40\ge \:-20+40\\\\Simplify\\\\5x\ge \:20\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5x}{5}\ge \frac{20}{5}\\\\Simplify\\\\x\ge \:4

8 0
3 years ago
Alyassa will corerectly label the numbers 48.4 48 1/2 48.09 48 3/5 with number is closest to 49
Luba_88 [7]

Answer:

48.5

Step-by-step explanation:

4 0
3 years ago
Find the inverse of f(x)=1/2x+3
sp2606 [1]

Answer:

f(x)=2x-6?

Step-by-step explanation:

3 0
3 years ago
One baseball team played 36 games throughout their entire season. If this baseball team won 18 of those games, then what percent
gizmo_the_mogwai [7]
They have won 50% of their games.
7 0
2 years ago
Other questions:
  • (2x-*y-6)-(-7x*y-2)<br> Multiply then simplify
    15·1 answer
  • There are 12 appetizers; 4 are soups, 6 contain meat, and 2 do not. In how
    12·2 answers
  • Is (9,-17) a function?
    11·2 answers
  • Please help with my question it is the millers shower uses 25 gallons of water for a 10 min shower. Now how many gallons of wate
    9·1 answer
  • Answer number 2 pwease
    7·1 answer
  • If Sarah had eight apples and she ate two apples how many apples did she eat
    6·1 answer
  • A manufacturer of matches randomly and independently puts 22 matches in each box of matches produced. The company knows that one
    15·1 answer
  • Please help me i will mark you brainliesttttttttttttttt
    5·1 answer
  • Two standard dice are rolled together. What is the probability of rolling a sum less than 7 or a sum divisible by 5?
    10·1 answer
  • 7metros mas 9.40 metros​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!