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
Masteriza [31]
2 years ago
12

If f(x)=4x+3 and g(x)=x^2-3 then f(g(2))

Mathematics
1 answer:
grandymaker [24]2 years ago
4 0

Answer:

<em>f(g(2))=7</em>

Step-by-step explanation:

<u>The Composite Function</u>

Given f(x) and g(x) as real functions, the composite function (f\circ g)(x) is defined as:

(f\circ g)(x)=f(g(x))

It can be found by substituting g into f.

The given functions are:

f(x)=4x+3

g(x)=x^2-3

It's required to find f( g( 2 ) )

Find g(2):

g(2)=2^2-3

Operating:

g(2)=4-3 =1

g(2)=1

Now find f(1):

f(1)=4(1)+3

f(1)=4+3 =7

Thus:

f( g( 2 ) )=7

You might be interested in
How to solve the problem
Nady [450]
50 - [(6² - 24) + 9√25]
= 50 - [36 - 24 + 9*5]
= 50 - [12 + 45]
= 50 - 57
= -7
4 0
3 years ago
If triangle ABC is isosceles, and AB = 6 and BC = 4, then AC =
lesya692 [45]
The answer is C because if AB=6 and BC=4 then AB is 6 and C is 4 so it can be either one of those options.
3 0
2 years ago
Read 2 more answers
The vine in the pumpkin patch grow 10 feet every 40 days. How many feet does it grow in one day?
Hunter-Best [27]

10 : 40

divide each side by 40

0.25 : 1

It grows 1/4th of a foot in one day.

6 0
3 years ago
Read 2 more answers
What is the distance between the points (−7, 1) and (−7, −5) on the coordinate plane?
4vir4ik [10]

Answer:

\displaystyle d = 6

General Formulas and Concepts:
<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Coordinate Planes

  • Coordinates (x, y)

<u>Algebra II</u>

Distance Formula: \displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

Point (-7, 1)

Point (-7, -5)

<u>Step 2: Find distance </u><u><em>d</em></u>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>.

  1. Substitute in points [Distance Formula]:                                                     \displaystyle d = \sqrt{(-7 - -7)^2 + (-5 - 1)^2}
  2. [Order of Operations] Evaluate:                                                                  \displaystyle d = 6
6 0
2 years ago
You deposit $200 every quarter for 12 years into a sinking fund that pays 2.25% interest compounded annually. What is the future
anzhelika [568]

Answer:

$16,974.57

Step-by-step explanation:

The formula for future value  is given by

FV=PMT\frac{(1+i)^{n}-1}{i}

where

FV = future value

PMT = amount deposited each period and is given as 200

i = rate per period = r/m where r is the interest rate and m the frequency of compounding. Here it is mentioned that r = 2.25% and interest is compounded annually ie once per year so m = 1

i = 2.25%/1 = 2.25% = 2.25/100 = 0.0225

The number of payments n = 48 since we make quarterly payments (4 per year) and we are asked to compute for 12 years

Plugging these values into the formula gives

FV=200\frac{(1+0.0225)^{48}-1}{0.0225}

which evaluates to

$16,974.57 which can be rounded up to $16975

depending on the accuracy you desire

6 0
10 months ago
Other questions:
  • Sam opened a money-market account that pays 2% simple interest. He started the account with 7000 dollars and made no further dep
    9·1 answer
  • PLZ HELP ASAP SOLVE SIMMILAR TRIANGLES (BASIC)
    15·1 answer
  • Consider the sequence:
    6·2 answers
  • If the volume of a cube is 27m3 find one of it's sides​
    14·1 answer
  • Lucy spent $36 on fruit at the grocery store. She spent a total of $60 at the store. What percentage of the total did she spend
    10·2 answers
  • 9. A cell phone can be purchased from the manufacturer for $160. The online retailer has a
    11·2 answers
  • What’s the quotent of -3/8 and -1/4
    13·2 answers
  • An airplane flies at an elevation of 500 feet above sea level. A whale swims the same distance below sea level, what number repr
    6·1 answer
  • Indicate in standard form the equation of the line through the given points.
    10·1 answer
  • Describe the error in the work shown.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!