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
Genrish500 [490]
3 years ago
10

Given f(x) = 2x-1 and g(x) = x^2+7 , find the following.

Mathematics
1 answer:
Over [174]3 years ago
7 0
(f+g)(x) = 2x - 1 + x^2 + 7 = x^2 + 2x + 6

(f-g)(x) = 2x - 1 - x^2 - 7 = -x^2 + 2x - 8

(f*g)(x) = (2x - 1)(x^2 - 7) = 2x^3 - 14x - x^2 + 7 = 2x^3 - x^2 - 14x + 7

(f/g)(x) = (2x - 1)/(x^2 - 7) - No simplification

f(g(-8)) = 2((-8)^2) - 7) - 1
            = 2(64 - 7) -1
            = 2(57) - 1 = 114 - 1 = 113

g(f(1))  = (2(1) - 1)^2 - 7
            = (2 - 1)^2 - 7
            = 1^2 - 7 = 1 - 7 = -6
You might be interested in
Find sin θ.
Fynjy0 [20]
Answer: C. 16/20

Explanation: SOH CAH TOA
5 0
3 years ago
Sarah pays a 20% deposit for a new TV and then an extra $96. What’s the total cost?
mixer [17]

A deposit (in this case) is a portion of the TV paid in advance - 20% of the total cost. That means that the 96$ makes up the remaining 80% of the total cost, which I'll represent as <em>x</em>. From here, we can set up an equation to find the total cost x, since we have a relation to form it on - <em>the fact that 80% of x is equal to 96$.</em>

0.8x = 96

\frac{0.8x}{0.8} = \frac{96}{0.8}

x = 120  

The total cost of the TV is 120 dollars.

4 0
3 years ago
25. Find the measure of an angle that is 10 more than three times its complement. Show all work in order to receive credit.
kotegsom [21]
3x+10+x=90

4x=80

x=20

Answer=70
3 0
3 years ago
Who can be good role models?
Natasha_Volkova [10]

Answer:

A good role model is someone who is always positive, calm, and confident in themselves. You don't want someone who is down or tries to bring you down. Everyone likes a person who is happy with their achievements, but continues to strive for bigger and better objectives. Don't be afraid to be unique. A good role model is someone who is kind, but firm in their ways. He or she is humble, loving, caring, and always willing to help.

Step-by-step explanation:

8 0
4 years ago
Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be
kvv77 [185]
Answer:

Angle A must be acute.

Explanation:

Both angle A and C must be acute. The sum of the angles in a triangle is 180°.

An obtuse angle is more than 90°, so the sum of the remaining 2 angles has to be less than 90°.

Note that it is impossible to have:

<span>2 right angles in a triangle, because <span>90°+90°=180</span>° and the third angle still needs to be added.1 obtuse and 1 right angle in a triangle, their sum is more than 180°2 obtuse angles in a triangle, their sum is more than 180°</span>

It is possible to have an obtuse-angled isosceles triangle, but the vertex angle must be obtuse and the equal base angles will be acute.

8 0
3 years ago
Other questions:
  • Sam is planning to start a pool cleaning business from his home. He has developed the following cost analysis for the
    12·1 answer
  • This system has one solution y=8x+9, y=x^2+4x+13. What is the y coordinate
    6·2 answers
  • The surface are of a cube is 54 square centimeters. The area of a face on the cube is 9 square centimeters. What is the volume,
    13·1 answer
  • What is 4 pints into quarts
    13·2 answers
  • What is the product of 5/6 and 2/3?
    10·2 answers
  • 50% of all the cakes Lucy bakes that week were party cakes: one fifth were fruit cakes and the remainder were sponge cakes. What
    8·1 answer
  • Okay so I am trying to raise $16,000.00 in 6 months at the most. I am only 14 and have bit of protective parents. Legally I can
    13·1 answer
  • The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditio
    5·1 answer
  • Please help it’s worth 50 points
    7·2 answers
  • Please help me with this question
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!