Answer:
The correct answer is d.
Step-by-step explanation:
Let's solve each answer and see which one matches.
Note that in each case, you simply add or subtract from x inside the radical to move left or right respectively. Similarly, just add or subtract to the full expression to move up or down respectively. Doing so we get:
a) ![f(x) = \sqrt[3]{x + 7} + 3](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%20%2B%207%7D%20%2B%203)
b)![f(x) = \sqrt[3]{x - 3} - 7](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%20-%203%7D%20-%207)
c)![f(x) = \sqrt[3]{x - 3} + 7](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%20-%203%7D%20%2B%207)
d)![f(x) = \sqrt[3]{x - 7} + 3](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%20-%207%7D%20%2B%203)
So d is the correct answer.
(f.g)(x) = f (g(x))= f ( x^4+3)
= (x^4+3)^2 + 2 ( x^4+3) - 6
= x^8 + 9 + 6x^4 + 2x^4 + 6-6
= x^8 + 8x^4+9
Answer:
12
Step-by-step explanation:
We input 2 into each function:
w(2) = 3(2) - 2 = 4
v(2) = 2(2) + 7 = 11
k(2) = -6(2) - 7 = -19
Then we place our answers in w - v - k
(4) - (11) - (-19)
= 4 - 11 + 19
= 12
9514 1404 393
Answer:
- base: 2.18 m
- height: 7.35 m
Step-by-step explanation:
Let b represent the base of the triangle in meters. Then the height is ...
h = 3 +2b
and the area is ...
A = 1/2bh
8 = 1/2(b)(3 +2b)
16 = 3b +2b^2 . . . . . . . multiply by 2 and eliminate parentheses
2(b^2 +3/2b + (9/16)) = 16 + 9/8 . . . . . . complete the square
2(b +3/4)^2 = 17.125
(b +3/4)^2 = 8.5625 . . . . . divide by 2
b + 0.75 = √8.5625 ≈ 2.9262
b = -0.75 +2.9262 = 2.1762
h = 3 +2b = 7.3523
The base is about 2.18 meters and the height is about 7.35 meters.
