Find the composition (f ∘ g)(–2) for the functions f(x) = 2x + 1 and g(x) = x2 – 3.

Answer:

Step-by-step explanation:

(f∘g)(x) = f(g(x))

 = f(x²-3)

 = 2(x²-3) + 1

 = 2x² - 5

(f∘g)(-2) = 2(-2)² - 5

  = 2·4 - 5

  = 8 - 5

  = 3

The composition (f ∘ g)(–2) for the functions f(x) = 2x + 1 and g(x) = x2 –  3 will be 3

The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)). It means here function g is applied to the function of x. So, basically, a function is applied to the result of another function.

The notation used for composition is: (f o g)(x) = f(g(x))

(fog)(x) = f(g(x))

this implies , (fog)(-2) = f(g(2))

given :

f(x) = 2x + 1

g(x) = x2 – 3

(fog)(x) = f(g(x)) = f(x^2 - 3)

                        =  2 (x^2 -3) +1

                        = 2x^2 - 5                                    equation 1

fog(-2) =  f(g(2))

substituting the value of x = 2 in equation 2

           = 2 * (2)^2 -5

           = 3

learn more about composition of a function :

https://brainly.com/question/20379727?referrer=searchResults

#SPJ2

please can someone help me asap i should find the roots (zeros) of this equation:
f(x) = x^4 -6x^3 + 12 x^2 -8 x
please​

simplify 3(tan^2 theta - sec^2 theta)
a. 1
b. 0
c. -3
d. 3

*ITS NOT D*

Darnell bought a leaf blower priced at $437. Shipping and handling cost an additional 20%
of the price. What was the total cost of the leaf blower, including shipping and handling?

How do I figure this out?

what is 16y - u + 34x when x = 2 u = 14 and y = 3​

.Mariam went to the store to buy some apples. The price per pound of the apples is $6 per pound and she has a coupon for $2.25 off the final amount. With the coupon, how much would Mariam have to pay to buy 3 pounds of apples? Also, write an expression for the cost to buy p pounds of apples, assuming at least one pound is purchased.

yo does anyone know how to solve this

How many units long is CD? How do you know?

Please check my answer!!!!!

Find the Area of the Figure. Do not type in the units.

-8 (6x -2) = -3x -29

Which of these problems could be solved using the equation 16x=80.

Please help me please

CORRECT ANSWERS ONLY PLES ASAP!!!!! It costs $2 to spin the spinner shown below. If you land on an even number, you win $8. If you land on an odd number, you get nothing. What is the expected value of playing this game one time?




$8


$3


$1


$6

express 5000 gm as kg using decimals​

What are the two square roots for the number 81? *
(1) 27 and 3
(2) 9 and -9
(3) 40.5 and 2
(4) None of these

1
A horizontal line passes through the
point (0,4). A vertical line passes
through the point (-16,0). What is
the intersection of the two lines?

Ms. Reiger’s students found a total of 16 bird feathers. The line plot shows the lengths, in inches, of the bird feathers found by the students
Look at the line plot, and then select the two correct statements about the bird feathers.


The difference between the lengths of the shortest feather and the longest feather is 318 inches.

A. The difference between the lengths of the shortest feather and the longest feather is 238 inches.

B. The combined length of the two longest feathers is 828 inches.

C. The combined length of the shortest feather and the longest feather is 738 inches.

D. The combined length of the shortest feather and the longest feather is 618 inches.

9x-27 whats the answer

Mia is working two summer jobs, making $18 per hour lifeguarding and making $10 per hour washing cars. In a given week, she can work at most 13 total hours and must earn a minimum of $180. If xx represents the number of hours lifeguarding and yy represents the number of hours washing cars, write and solve a system of inequalities graphically and determine one possible solution.

WILL CROWN BRAINLIEST Find the quotient.
29,424 divided by 15

The auditorium where the spring musical will be performed has 10 seats in the 1st (front) row. Each row behind the Ist row has 4 more seats than does the row in front of it.

how many seats are in the 7th row?

What is the slope of the line shown below?

Please help due in 5 minutes !

the length=2.3m and breath=90cm find the perimeter and area of rectangle​

ABCD contains the points: B(2,3) C(2,1) D(5,1). If the triangle is reflected across the x-axis, what
will B be?

Tessa has $42 to spend at the county fair. Her admission
ticket cost $7.50. How much money could she spend on
games and food? Write an inequality to represent this
situation and solve.


can someone help me?

What is the slope of the line that passes through the points (-5, -7) and (4,−1)? in the simplest form

What is the mean of the values in the dot plot?



Enter your answer in the box.

How do I solve 5x(3x2 + 2x - 1)