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
What is 22 percent of 50
Lady_Fox [76]
Translate
'what' means unknown or find this or ?
'is' means = or equals
22%
'of' means multiply
50

percent means parts out of 100
x%=x/100 so 22%=22/100

so

what is 22% of 50 means
?=22/100 times 50
?=1100/100
?=11
answer is 11

the hack, is to recognize that 50 is 1/2 of 100, so 22% of 1/2 of 100 is 22/2=11


answe ris 11


5 0
3 years ago
Read 2 more answers
(HELP I HAVE A TIMED QUIZ)
sertanlavr [38]

Answer:

7

Step-by-step explanation:

that answer isnt real do u know the answer yet

3 0
3 years ago
What set of transformations are applied to parallelogram ABCD to create A'B'C'D'?
denpristay [2]

Answer:

Reflected over the x-axis and rotated 90° counterclockwise

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please help me with this
Galina-37 [17]
1 1/8 square feet

1 4/5 • 1 5/8 = 9/8
9/8 reduces to 1 1/8

I hope this helps you :)
3 0
2 years ago
What is the measure of the missing side?
astraxan [27]
The explanation is in the photo. Have a look

6 0
3 years ago
Other questions:
  • Represent the following sentence as an algebraic expression, where "a number" is the letter x.
    8·1 answer
  • The answer to question 9
    14·1 answer
  • We know that narrower confidence intervals give us a more precise estimate of the true population proportion. Which of the follo
    11·1 answer
  • Which number is rational?<br> –2.1010010001...<br> –0.8974512...<br> 1.2547569...<br> 5.3333333...
    13·1 answer
  • Help me on this math question thank you
    13·1 answer
  • what is the experimental probability of the spinner of it landing on blue? if it has green in the upper left corner, blue in the
    12·1 answer
  • Pls help the question is in the picture
    5·1 answer
  • Martin recorded the low temperatures at his house for one week. The temperatures are shown below.
    7·1 answer
  • Hair colors are an example of which type of data?
    13·1 answer
  • A set of equations is given below.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!