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
garik1379 [7]
3 years ago
5

Let g(x) = 2x and h(x)= x^2 -4. find (g o h)(0)

Mathematics
1 answer:
finlep [7]3 years ago
5 0
The answer is -8

====================================================

Explanation:

There are two ways to get this answer

Method 1 will have us plug x = 0 into h(x) to get
h(x) = x^2 - 4
h(0) = 0^2 - 4
h(0) = 0 - 4
h(0) = -4
Then this output is plugged into g(x) to get
g(x) = 2x
g(-4) = 2*(-4)
g(-4) = -8 which is the answer
This works because (g o h)(0) is the same as g(h(0)). Note how h(0) is replaced with -4
So effectively g(h(0)) = -8 which is the same as (g o h)(0) = -8

-----------------------

The second method involves a bit algebra first
Start with the outer function g(x). Then replace every x with h(x). On the right side, we will replace h(x) with x^2-4 because h(x) = x^2-4

g(x) = 2x
g(x) = 2( x )
g(h(x)) = 2( h(x) ) ... replace every x with h(x)
g(h(x)) = 2( x^2-4 ) ... replace h(x) on the right side with x^2-4
g(h(x)) = 2x^2-8
(g o h)(x) = 2x^2-8

Now plug in x = 0
(g o h)(x) = 2x^2-8
(g o h)(0) = 2(0)^2-8
(g o h)(0) = 2(0)-8
(g o h)(0) = 0-8
(g o h)(0) = -8

Regardless of which method you use, the answer is -8

You might be interested in
Simplify the following:<br> 3x+2y+7-5x+7y
const2013 [10]
<span>3x+ 2y+7 -5x+7y
= -2x + 9y + 7

hope it helps</span>
3 0
4 years ago
Read 2 more answers
The ratio of dogs to cats at an animal shelter is 33 to 22. How many dogs are at the shelter if there is a total of 3030 animals
Elena-2011 [213]
D : c = 33 : 22
where d is the number of dogs and c is the number of cats;
and: d + c = 3030
33 c = 22 d  / : 11
3 c = 2 d
From the other equation: c = 3030 - d
3 * ( 3030 - d ) = 2 d
9090 - 3 d = 2 d
5 d = 9090
d = 9090 : 5
d = 1818
Answer: There are 1818 dogs in the shelter.
 
4 0
3 years ago
Find an equation of the plane that passes through the point P0 = (6, 3, 2) and is parallel to the xy-plane. g
Nutka1998 [239]

The <em>xy</em>-plane has a normal vector of 〈0, 0, 1〉, and any plane parallel to it will have the same normal vector.

Then the equation of the plane through (6, 3, 2) that is parallel to the <em>xy</em>-plane has equation

〈<em>x</em> - 6, <em>y</em> - 3, <em>z</em> - 2〉 • 〈0, 0, 1〉 = 0

==>   <em>z</em> - 2 = 0

==>   <em>z</em> = 2

3 0
3 years ago
Write 3 1/3 as an improper fraction.
Nataly_w [17]
10/3 is the answer
_______________
8 0
4 years ago
Read 2 more answers
Maya has 5/6 cup of ice cream. How many 1/4 cup serving are in 5/6 cup of ice cream
sveta [45]
Maya can get 3 cups of ice cream with 1/3 of a cup left over I hope this helped
5 0
3 years ago
Read 2 more answers
Other questions:
  • The ice cream Palace received 3 gallons of strawberry ice cream, five pints of mocha ice cream and 1 quart of vanilla ice cream
    8·2 answers
  • 01:49:1
    5·1 answer
  • What is the slope of the line?
    10·1 answer
  • In a fifth grade class, 3/4 of the students like to go to the movies. Of the students who like to go to the movies, 2/3 of them
    13·2 answers
  • Multiply 6/5 x 25/2<br> PLEASE HURRY I NEED IT NOW
    10·2 answers
  • What is the value of g if g = 8.8? 72g = ?
    13·1 answer
  • 322/14 .....plzzzzzzzzzzzzzzzzzzzzzzz
    11·2 answers
  • Manuel buys 2 shirts at $24 each as well as one pair of pants for $35. He has a coupon for 30% off the shirts.What is the total
    12·1 answer
  • ILL GIVE YOU BRAINLIEST IF YOU GET IT RIGHT AND EXPLAIN A circular walkway surrounds a fountain.The fountain alone has a diamete
    14·2 answers
  • Which ordered pair could be removed from the graph to create a set of ordered pairs that represents a function
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!