The answer is -8
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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
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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
Answer:
x-intercept: 4
y-intercept: 2
Step-by-step explanation:
finding the x-intercept:
first, substitute y = 0.
2x + 4 x 0 = 8
then, remove the 0.
2x + 0 = 8
then, divide both sides. 2x = 8
so, x = 4.
finding the y-intercept:
first, substitute x = 0.
then, solve.
2 x 0 + 4y = 8
so, y = 2.
Answer:
Step-by-step explanation:
The tree when he got it was half the size it is now. If the tree is 9 feet tall, back then it was half of 9 feet, which is 4.5 feet.
Answer:
3x^3 + 6x^2 + 15x + 36 + 62 / 3x^4 +3x^2 +6x + 10
Step-by-step explanation:
Use Syenthetic Division
Answer:
x=3
Step-by-step explanation:
Vertical angles are equal so
<A = <B
7x+2 = 4x+11
Subtract 4x from each side
7x+2-4x = 4x+11-4x
3x+2 =11
Subtract 2 from each side
3x+2-2 = 11-2
3x = 9
Divide by 3
3x/3 = 9/3
x=3
