![samueldfhung](/avatars/7256.jpg)
samueldfhung
14.02.2021 •
Mathematics
Consider these functions
f(x) = 4x^3 - 10
3x - 4
g(x) =
2
What is the value of g(f(2))
A. -6
B. 2
C. 19
D. 31
Solved
Show answers
More tips
- L Leisure and Entertainment The Best Film of 2010: A Look Back at the Academy Awards...
- H Health and Medicine Simple and Effective: How to Get Rid of Cracked Heels...
- L Leisure and Entertainment What to Bring on a Hike? Essential Items to Pack for a Safe and Enjoyable Adventure...
- L Leisure and Entertainment Couchsurfing: A New Way to Travel...
- S Style and Beauty Autotanning: Harmful or Safe?...
- F Food and Cooking 10 Ideas for a Wedding Anniversary Gift...
- H Health and Medicine How to Reduce Sweating in the Heat and Beyond: Say Goodbye to Excessive Sweat...
- F Food and Cooking Do Aphrodisiacs Really Work? Separating Fact from Fiction...
- H Health and Medicine What to Eat to Lose Weight?...
- A Animals and plants How to Teach Your Parrot to Talk?...
Answers on questions: Mathematics
- M Mathematics please help me with one a two :)...
- M Mathematics Can someone please help...
- C Chemistry Unui element ce are numarul de mass 3l ii mai lipsesc trei electroni pentru a a avea pe stratul al treilea conficuratie de octet. Identifica elementul...
- S Social Studies One month before the move, Chandler and Alex asked friends to help them organize and pack their belongings. One week before the scheduled moving day, they learned...
Ответ:
Explanation:
The expression g(f(2)) has f(2) as the inner function.
Let's compute f(2)
This means we plug x = 2 into the f(x) function
f(x) = 4x^3 - 10
f(x) = 4(x)^3 - 10
f(2) = 4(2)^3-10
f(2) = 4*8-10
f(2) = 32-10
f(2) = 22
Now we'll plug this into the g(x) function
This is because g(f(2)) = g(22). I've replaced f(2) with 22
So,
g(x) = (3x-4)/2
g(22) = (3*22-4)/2
g(22) = (66-4)/2
g(22) = 62/2
g(22) = 31
Therefore, g(f(2)) = 31
Ответ: