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
fomenos
2 years ago
6

Can anyone do these problems it’s for my daughter in law

Mathematics
1 answer:
Naya [18.7K]2 years ago
4 0

Classwork:

Given f(x) = x^2 - 1 and g(x)=2x+5, we have

(1) (f\circ g)(x) = f(g(x)) = f(2x+5) = (2x+5)^2 - 1 = \boxed{4x^2+20x+24}

Using the composition found in (1), we have

(2) (f\circ g)(-2) = 4\cdot(-2)^2+20\cdot(-2)+24 = \boxed{0}

(3) (g\circ f)(x) = g(f(x)) = g(x^2-1) = 2(x^2-1) + 5 = \boxed{2x^2 + 3}

Using the composition found in (3),

(4) (g\circ f)(1) = 2\cdot1^2+3 = \boxed{5}

Homework:

Now if f(x)=x^2-3x+2, we would have

(1) (f\circ g)(x) = f(2x+5) = (2x+5)^2-3(2x+5)+2 = \boxed{4x^2+14x+12}

For (2), we could explicitly find (g\circ f)(x) then evaluate it at <em>x</em> = -1 like we did in the classwork section, but we don't need to.

(2) (g\circ f)(-1) = g(f(-1)) = g((-1)^2-3\cdot(-1)+2) = g(6) = 2\cdot6+5 = \boxed{17}

(3) We can demonstrate that both methods work here:

• by using the result from (1),

(f\circ g)(2) = 4\cdot2^2+14\cdot2+12 = \boxed{56}

• by evaluating the inner function at <em>x</em> = 2 first,

(f\circ g)(2) = f(g(2)) = f(2\cdot2+5) = f(9) = 9^2-3\cdot9+2 = \boxed{56}

You might be interested in
Please help me with this
Zolol [24]

Answer:

MN=9.1 cm

LM= 9.9 cm

Step-by-step explanation:

3 0
2 years ago
Ill give you brainliest pleaseeeeeeee help me
ruslelena [56]
Line D and C because they are not parallel but distorted or unsymmetrical
4 0
3 years ago
Eric spent $21.85, including sales tax, on 2 jerseys and 3 pairs of socks. The jerseys cost $6.75 each and the total sales tax w
maria [59]

Answer

Cost of each jersey $6.75

Cost of each pair of socks $4.69

Cost of sales tax $1.03

Step-by-step explanation:

To find the cost of the socks you fist add $6.75 + $1.03 and you get $7.78.Then you subtract that by $21.85.After that you do $14.07 divided by 3 and you get $4.69.

6 0
2 years ago
Please answer correctly ! Will mark brainliest answer !!!
Andreyy89

Answer:

The answer is the first one.

6 0
2 years ago
456,912-37,800 estimate
allsm [11]

i think it might be around 440,112

7 0
2 years ago
Other questions:
  • A point undergoes two transformations. The x-coordinate's sign changes and the y-coordinate increases. What were the transformat
    14·1 answer
  • NEED HELP ASAP WILL GIVE BRAINLIEST
    15·1 answer
  • X + 7 = 7<br> 7x + y = 1
    8·2 answers
  • There are 16 marbles in a bowl: 3 are red, 6 are black, and 7 are green, Jimmy draws
    10·1 answer
  • Jon has $5,000 to invest in a savings account that has interest compounded annually. If he want his money to double in eight yea
    5·1 answer
  • 9. Developing Proof Copy and complete the two-column proof.
    5·1 answer
  • What does it equal to and how
    15·2 answers
  • Please help! :3c
    10·1 answer
  • An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and
    9·2 answers
  • Can someone tell me the y = mx + b<br> the answer to this. it’s slope intercept
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!