Remark
First of all you have to declare the meaning of g(f(x)) After you have done that, you have to make the correct substitution.
Givens
f(x) = 4x^2 + x + 1
g(x) = x^2 - 2
Discussion
What the given condition g(f(x)) means is that you begin with g(x). Write down g(x) = x^2 - 2
Wherever you see an x on either the left or right side of the equation, you put fix)
Then wherever you see f(x) on the right you put in what f(x) is equal to.
Solution
g(x) = x^2 - 2
g(f(x)) = (f(x))^2 - 2
g(f(x)) = [4x^2 + x + 1]^2 - 2
f(x)^2 =
4x^2 + x + 1
<u>4x^2 + x + 1</u>
16x^4 + 4x^3 + 4x^2
4x^3 + x^2 + x
<u> 4x^2 + x + 1</u>
16x^4 + 8x^3 + 9x^2 + 2x + 1
Answer
g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x + 1 - 2
g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x - 1
I believe the answer is 9.
Well if he can walk 4 miles in one hour, just multiply 4 by 3 to get 12. Hope this helps! Make sure to mark me brainlest(losing ranks like crazy for some reason)
Answer:
50 cm^2
Step-by-step explanation:
The volume of a square pyramid can be found using:
v= 1/3 bh
Where b is the area of the base, and h is the height
First, we have to find the area of the base
a=l*w
In a square, all sides are equal, so we know the length and the width are both 5
a=5*5
a=25
Now, we can substitute 25 in for b, and 6 in for h
v=1/3bh
v=1/3(25*6)
v=1/3(150)
v=50
Volume uses units cubed, and in this case our units are centimeters
The volume is 50 cm^3
