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
Vlada [557]
2 years ago
8

Let f(x)=2x+3 and g(x)=x×x-1find a. f(g(x)) b.g(f(x))​

Mathematics
1 answer:
Talja [164]2 years ago
5 0

Answer:

See explanations below

Step-by-step explanation:

Given the functions f(x)=2x+3 and g(x)=x^2-1

a. Find f(g(x))

f(g(x)) = f(x^2-1)

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

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

f(g(x)) = 2x^2+1

Hence the composite function f(g(x)) is 2x^2+1

b) g(f(x)) = g(2x+3)

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

g(f(x)) = 4x^2+12x+9-1

g(f(x)) = 4x^2+12x+8

You might be interested in
A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1863 mailboxes t
forsale [732]

Answer:

3433 m²

Step-by-step explanation:

From the image, we have a rectangular box without cover and half a cylinder on top.

Formula for surface area of rectangular box with top is;

S = 2(lh + wh + lw)

From the image,

l = 0.6 m

w = 0.4 m

h = 0.55 m

Thus;

S = 2((0.6 × 0.55) + (0.4 × 0.55) + (0.6 × 0.4))

S = 1.58 m²

Now, since the top is not included for this figure, then;

Surface area of this rectangular box is;

S1 = 1.58 - (lw) = 1.58 - (0.4 × 0.6) = 1.34 m²

Surface area of a cylinder is;

S = 2πr² + 2πrh

r is radius and in this case = 0.4/2 = 0.2 m

h = 0.6

S = 2π(0.2² + (0.2 × 0.6))

S = 1.005 m²

Since it is half cylinder, then we have;

S2 = 1.005/2

S2 = 0.5025 m²

Total surface area; S_t = S1 + S2

S_t = 1.34 + 0.5025

S_t = 1.8425 m²

This is the surface area of one mail box.

Thus, for 1863 mailboxes, total surface area is;

S = 1863 × 1.8425 = 3432.5775 m²

Approximating to the nearest Sq.m gives;

S = 3433 m²

6 0
3 years ago
For sketching solutions for inequalities should there be a solid line or a dotted line at `x-y=5`?
Tpy6a [65]
Jdjjckdifoffcncjdididid
4 0
3 years ago
A garden has a perimeter of 56 square feet. The width of the garden
Irina-Kira [14]

Answer:

98

Step-by-step explanation:

As it is a little bit of a few questions about the other one I have to the store go back tomorrow and will get back tomorrow and I have been working

4 0
3 years ago
Read 2 more answers
Pls help me for brainless<br> and 60points
irina1246 [14]

Answer:

2nd

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
2(5*3)+2(5*8)+2(3*8)
AlladinOne [14]
158, because due to PEMDAS you would do all the functions in the parenthesis first, then you would move on to multiplication, and finally you would find the sum of the equation
7 0
3 years ago
Other questions:
  • n a booster club, 1⁄8 of the 128 members are men. How many male members are in the club? A. 64 B. 112 C. 16 D. 1
    11·2 answers
  • Use four unit multipliers to convert 630 square yards into square inches
    10·1 answer
  • Lusia ran 3 2/3 kilometers in 1/3 of an hour. If speed is distance over time, calculate lusia's speed.
    15·1 answer
  • There are thirty-two pets at the pet shop where Donna works. There are three times as many mammals as reptiles in the store. How
    14·1 answer
  • What is the volume of a right circular cylinder with a radius of 3 in. and a height of 10 in.?​
    13·1 answer
  • Please Help ASAP!!
    11·1 answer
  • ASAP what is the 8th term in the following sequence <br><br> • 48<br> • 58<br> • 63<br> • 73
    15·2 answers
  • Explain! Prize! Thank you!!!!
    14·2 answers
  • What is the result if you divide 18r4s5t6/-3r2st3
    14·1 answer
  • Can u please help me
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!