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
GREYUIT [131]
2 years ago
15

Given f(x) = log(x+1), x >-1 and g(x) = x^2 + 2x, XER find (f•g)(1)​

Mathematics
1 answer:
worty [1.4K]2 years ago
3 0

Answer:

Like terms, functions may be combined by addition, subtraction, multiplication or division.

Example 1. Given f ( x ) = 2x + 1 and g ( x ) = x2

+ 2x – 1 find ( f + g ) ( x ) and

( f + g ) ( 2 )

Solution

Step 1. Find ( f + g ) ( x )

Since ( f + g ) ( x ) = f ( x ) + g ( x ) then;

( f + g ) ( x ) = ( 2x + 1 ) + (x2

+ 2x – 1 )

= 2x + 1 + x2

+ 2x – 1

= x

2

+ 4x

Step 2. Find ( f + g ) ( 2 )

To find the solution for ( f + g ) ( 2 ), evaluate the solution above for 2.

Since ( f + g ) ( x ) = x2

+ 4x then;

( f + g ) ( 2 ) = 22

+ 4(2)

= 4 + 8

= 12

Example 2. Given f ( x ) = 2x – 5 and g ( x ) = 1 – x find ( f – g ) ( x ) and ( f – g ) ( 2 ).

Solution

Step 1. Find ( f – g ) ( x ).

( f – g ) ( x ) = f ( x ) – g ( x )

= ( 2x – 5 ) – ( 1 – x )

= 2x – 5 – 1 + x

= 3x – 6

Step 2. Find ( f – g ) ( 2 ).

( f – g ) ( x ) = 3x – 6

( f – g ) ( 2 ) = 3 (2) – 6

= 6 – 6

= 0

Example 3. Given f ( x ) = x2

+ 1 and g ( x ) = x – 4 , find ( f g ) ( x ) and ( f g ) ( 3 ).

Solution

Step 1. Solve for ( f g ) ( x ).

Since ( f g ) ( x ) = f ( x ) * g ( x ) , then

= (x2

+ 1 ) ( x – 4 )

= x

3

– 4 x2

+ x – 4 .

Step 2. Find ( f g ) ( 3 ).

Since ( f g ) ( x ) = x3

– 4 x2

+ x – 4, then

( f g ) ( 3 ) = (3)3

– 4 (3)2

+ (3) – 4

= 27 – 36 + 3 – 4

= -10

Example 4. Given f ( x ) = x + 1 and g ( x ) = x – 1 , find ( x ) and ( 3 ). f

g

⎛ ⎞ ⎜

⎝ ⎠

f

g

⎛ ⎞ ⎜

⎝ ⎠ ⎟ ⎟

Solution

Step 1. Solve for ( x ). f

g

⎛

⎜

⎝ ⎠

⎞

⎟

Since ( x ) = , then ( )

( )

f x

g x

f

g

⎛

⎜

⎝ ⎠

⎞

⎟

= ; x ≠ 1 1

1

x

x

+

−

Step 2 Find . ( ) 3 f

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

Since = , then 1

1

x

x

+

− ( ) f x

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

=

3 1

3 1

+

− ( ) 3 f

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

=

4

2

= 2

Step-by-step explanation:

did this Help?

You might be interested in
PLEASE HELP WITH THIS I GOT 5 MIN LEFT GIVING ALL MY POINTS AND BRAINLIEST PLEASE COME!!!!!!!
yawa3891 [41]
What's the question?
3 0
3 years ago
What’s 19,975 divided by 25 show your work
Dvinal [7]

the answer to the question is 799

6 0
2 years ago
Six different​ second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic re
Sauron [17]

Answer:

What? Hey no no no yes what no no yes what yes yes

7 0
3 years ago
What is the solution to the systems of equations?<br> y= 2/3x + 3<br> x=-2
Romashka [77]

Answer:

y = 8/3

Step-by-step explanation:

x = -2

y = 2/(3*-2) + 3

y = 2/-6 + 3

y = -1/3 + 3

y = -1/3 + 9/3

y = 8/3

8 0
2 years ago
Help fast and thankssss god bless
Wewaii [24]

Answer:

1.

336-6=330

330÷6=55

55 Students in each bus

2.

242-11=231

231÷7=33

Each book was 33 dollars

3.

5+30+100=135

The smallest number is 5

4.

18-3=15

15÷8=1.8

Each candy bar was 1.8 dollars

5.

14-9=5

Her allowance is 5 dollars

6.

4+20+60=84

The smallest number is 4

7.

12-7=5

5×2=10

She had 10 in the begining

4 0
3 years ago
Other questions:
  • Please Answers with steps...will be much appreciated!!!
    14·1 answer
  • Determine whether each pair of triangles is similar. Justify your answer.
    5·2 answers
  • In the figure to the right, can you conclude that triangle GHI is congruent to triangle KJI? Justify your reasoning.
    11·1 answer
  • Solve the following equation, and check your solution. Be sure to show all work.
    6·2 answers
  • The center of a circle is located at (3, 8), and the circle has a radius that is 5 units long. What is the general form of the e
    9·1 answer
  • A marketing researcher conducts a test to determine whether the number of chocolate chips per cookie differs significantly acros
    5·1 answer
  • The area of a sector of a circle is given by the equation uppercase A = StartFraction pi r squared uppercase S Over 360 EndFract
    9·1 answer
  • A composite shape is shown.
    6·2 answers
  • 12x3-3x2=0 solve the equation by factoring
    11·1 answer
  • 10. Use the discriminant to find the values of b for which the equation 4x2 + bx + 1 = 0 has one real solution.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!