Answer:
f[g(2)] = 50
Step-by-step explanation:
<u>Given functions:</u>
We are asked to determine f[g(2)], which is known as a composite function. When solving composite functions, you always work inside out.
Step 1: Find the value of g(2) by substituting 2 for x in function g(x).
Step 2: Substitute the found value into the composite function.
![\\\implies f[g(2)]= 2(4+1)^2](https://tex.z-dn.net/?f=%5C%5C%5Cimplies%20f%5Bg%282%29%5D%3D%202%284%2B1%29%5E2)
![\implies f[g(2)] = 2(5)^2 \Rightarrow 2(25) \Rightarrow \boxed{50}](https://tex.z-dn.net/?f=%5Cimplies%20f%5Bg%282%29%5D%20%3D%202%285%29%5E2%20%5CRightarrow%202%2825%29%20%5CRightarrow%20%5Cboxed%7B50%7D)
Hence, the value of the composite function f[g(2)] is 50.
Learn more about composite functions here:
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<span>Simplifying
2x + 5 + 6x + -1 = 120
Reorder the terms:
5 + -1 + 2x + 6x = 120
Combine like terms: 5 + -1 = 4
4 + 2x + 6x = 120
Combine like terms: 2x + 6x = 8x
4 + 8x = 120
Solving
4 + 8x = 120
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + 8x = 120 + -4
Combine like terms: 4 + -4 = 0
0 + 8x = 120 + -4
8x = 120 + -4
Combine like terms: 120 + -4 = 116
8x = 116
Divide each side by '8'.
x = 14.5
Simplifying
x = 14.5</span>
Answer:
125%
Step-by-step explanation:
divide 250% by 2
