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
andreyandreev [35.5K]
2 years ago
9

If f(x) =2ײ+2 and g(x) =x² -1, find (f-g) (x)

Mathematics
1 answer:
kondor19780726 [428]2 years ago
7 0

Answer:

\boxed {(f-g)(x) = x^{2}+3}

Step-by-step explanation:

<u>Given</u> :

  • f(x) = 2x² + 2
  • g(x) = x² - 1

Now, this problem can be used using a simple formula.

\fbox {(f - g)(x) = f(x) - g(x)}

Let's solve.

  • (f - g)(x) = 2x² + 2 - (x² - 1)
  • (f - g)(x) = 2x² - x² + 2 + 1
  • (f - g)(x) = x² + 3

∴ The answer will be x² + 3.

You might be interested in
For the function given state the period f(t) =6sin(3t-pi/6)-1
lapo4ka [179]
\bf \qquad \qquad \qquad \qquad \textit{function transformations}&#10;\\ \quad \\&#10;% function transformations for trigonometric functions&#10;\begin{array}{rllll}&#10;% left side templates&#10;f(x)=&{{  A}}sin({{  B}}x+{{  C}})+{{  D}}&#10;\\\\&#10;f(x)=&{{  A}}cos({{  B}}x+{{  C}})+{{  D}}\\\\&#10;f(x)=&{{  A}}tan({{  B}}x+{{  C}})+{{  D}}&#10;&#10;\end{array}

\bf \begin{array}{llll}&#10;% right side info&#10;\bullet \textit{ stretches or shrinks}\\&#10;\quad \textit{horizontally by amplitude } |{{  A}}|\\\\&#10;\bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\&#10;\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\&#10;\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\&#10;\end{array}

\bf \begin{array}{llll}&#10;&#10;&#10;\bullet \textit{vertical shift by }{{  D}}\\&#10;\qquad if\ {{  D}}\textit{ is negative, downwards}\\\\&#10;\qquad if\ {{  D}}\textit{ is positive, upwards}\\\\&#10;\bullet \textit{function period or frequency}\\&#10;\qquad \frac{2\pi }{{{  B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\&#10;\qquad \frac{\pi }{{{  B}}}\ for\ tan(\theta),\ cot(\theta)&#10;\end{array}


now, with that template in mind, let's take a peek at yours

\bf \begin{array}{lllcclll}&#10;f(t)=&6sin(&3t&-\frac{\pi }{6})&-1\\&#10;&\uparrow &\uparrow &\uparrow &\uparrow \\&#10;&A&B&C&D&#10;\end{array}\\\\&#10;-----------------------------\\\\&#10;period\qquad \cfrac{2\pi }{B}\iff\cfrac{2\pi }{3}
8 0
4 years ago
The new laptop measures 2 inches tall, 12 inches long, and 16 inches wide. Which is the correct unit of measurement to use when
ki77a [65]
The answer to this question is in squared
3 0
3 years ago
Read 2 more answers
9x+2 (x-2) = 2 (3-x)​
Feliz [49]

Alternate Forms:

13 x = 10

13 x - 10 = 0

11 x - 4 = -2 (x - 3)

Expandend Form:

11 x - 4 = 6 - 2 x

Solution:

x = 10/13

8 0
3 years ago
Read 2 more answers
Find the inverse of the matrices if they Exist. Use the algorithm introduced in the section. [1 0 -2 -3 1 4 2 -3 4]
KiRa [710]

Answer:

\frac{1}{2} \left[\begin{array}{ccc}16&6&2\\20&8&2\\7&3&1\end{array}\right]

Step-by-step explanation:

Given is a matrix 3x3 as

\left[\begin{array}{ccc}1&0&2\\-3&1&4\\2&-3&4\end{array}\right]

|A| =2 hence inverse exists.

Cofactors are 16   20   7

                        6     8    3

                         2     2    1

Hence inverse =

\frac{1}{2} \left[\begin{array}{ccc}16&6&2\\20&8&2\\7&3&1\end{array}\right]

6 0
3 years ago
Need help...10 points
Ivanshal [37]
Answer: 306
- 9 goes into 54 6 times
- 9 does not go into 7 (0)
- goes into 27 3 times
6 0
4 years ago
Read 2 more answers
Other questions:
  • In order to graduate from Ohio, you need to earn 3 points on an Algebra EOC or score remediation
    5·1 answer
  • Sandra's ice popsicle is 8 1/5 inches long. She eats 6 4/5 inches. How long is
    11·2 answers
  • Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
    11·2 answers
  • Starting with 54 and 36, replace the 54 with the greatest common divisor of 54 and 36, obtaining a1, and then replace 36 with th
    11·1 answer
  • Please solve this question
    8·2 answers
  • Find the first five terms of the sequence..
    11·2 answers
  • PLZ HELP MEEE I REALY NEED IT PLZ SHOW YOUR WORK I NEED THE WORK TO BE SHOWN!!!
    11·2 answers
  • Y=3x²+3x+1,find the value of the discrimination​
    15·1 answer
  • Please help i’ll give u a brainliest
    12·1 answer
  • Video One, a Blu-ray disc player manufacture, produces two model of Blu-ray players. The mini-blue,
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!