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
spayn [35]
3 years ago
13

Arithmetic of Functions problem.

Mathematics
2 answers:
FromTheMoon [43]3 years ago
5 0

Answer:

(f o g)(4) = 45  

Step-by-step explanation:

We have given two functions and we have to find their composition.

f(x) = 4x+1   , g(x) = x²-5  

Firstly, we have to find (f o g)(x)

Then, we have to find (f o g)(x).

(f o g)(x) = f(g(x))

Putting the given values of functions in above formula , we have

(f o g)(x) = f(x²-5)

(f o g)(x) = 4(x²-5)+1

simplifying

(f o g)(x) = 4x²-20+1

adding like terms, we have

(f o g)(x) = 4x²-19

Putting x = 4   to above equation , we have

(f o g)(4) = 4(4)²-19

(f o g)(4) = 4(16)-19

(f o g)(4) = 64-19

(f o g)(4) = 45  which is the answer.

lidiya [134]3 years ago
4 0

Answer:

(f o g)(4) = 45

Step-by-step explanation:

f(x)=4x+1

g(x)=x²-5

(f o g)(4)=?

(f o g)(4) = f(g(4))


Calculating g(4):

x=4→g(4)=4²-5

g(4)=16-5

g(4)=11


Replacing g(4)=11

(f o g)(4) = f(g(4))

(f o g)(4) = f(11)


Calculating f(11)

x=11→f(11)=4(11)+1

f(11)=44+1

f(11)=45


Replacing f(11)=45:

(f o g)(4) = f(11)

(f o g)(4) = 45

You might be interested in
If you horizontally stretch the linear parent function, f(x) = x, by a factor of 3, what is the equation of the new function?
vekshin1
The correct answer is C
3 0
3 years ago
What is 3 less than -2
Anastasy [175]
-2 - 3 = -5
The answer is negative 5.
4 0
3 years ago
Show twelve in four different ways use words pictures and numbers
Hunter-Best [27]
24/4: 24-12: 12+0: 12/1: 48/4: 72/6:

3 0
3 years ago
Yeoooo i need help 3-8, this stuff is due at 1:30 pm i’ll give y’all like 69 points or sum lol
Zielflug [23.3K]

Answer: Hi

Step-by-step explanation:

Can you take a better pic, then I help

3 0
3 years ago
PLZ HELP ME MARK AS BRAINLY HOWEVER ANSWERS FIRST!!!!
Darina [25.2K]

Answer:

115

Step-by-step explanation:

When multiplying a fraction by a fraction, you multiply the numerator by the numerator and same with the denominator. 13 times 4 =52,  7 times 9=63, 52+63=115.  Hope this helps!

8 0
3 years ago
Other questions:
  • Dave krug finances a new automobile by paying $6,500 cash and agreeing to make 40 monthly payments of $500 each, the first payme
    8·1 answer
  • The sum of two numbers is 15. four times the smaller number is 60 less than twice the larger number. what is the larger number?
    10·1 answer
  • What is h(x) =-3x2 - 6x + 5 written in vertex form?
    11·2 answers
  • The quotient of 2 times a number and 96
    6·1 answer
  • Please help me with this triangle problem!
    5·1 answer
  • Dr. Gonzalez is considering joining the Garden Club. If he pays a $25 membership fee, he
    9·1 answer
  • What is the value of 9.6 x 12.643?
    9·2 answers
  • PLS HELP MEEEEEEEEEE The following table shows several ordered pairs of a function, m(x).
    10·1 answer
  • In the picture below, how many unit
    11·1 answer
  • The logistic growth function f(t) = 34,000 /(1 + 1132.3e-1.1t) models the number of people who have become ill with a partiafter
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!