Answer:
![\left(g\:\circ \:\:\:h\right)\left(-4\right)=-2](https://tex.z-dn.net/?f=%5Cleft%28g%5C%3A%5Ccirc%20%5C%3A%5C%3A%5C%3Ah%5Cright%29%5Cleft%28-4%5Cright%29%3D-2)
Hence, option B) is true.
Step-by-step explanation:
Given
g(t) = t² - 2
h(t) = t + 4
To determine
![\left(g\:\circ \:\:h\right)\left(-4\right)=?](https://tex.z-dn.net/?f=%5Cleft%28g%5C%3A%5Ccirc%20%5C%3A%5C%3Ah%5Cright%29%5Cleft%28-4%5Cright%29%3D%3F)
Using the formula
![\left(g\:\circ \:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)](https://tex.z-dn.net/?f=%5Cleft%28g%5C%3A%5Ccirc%20%5C%3A%5C%3Ah%5Cright%29%5Cleft%28-4%5Cright%29%5C%3A%3Dg%5Cleft%28h%5Cleft%28-4%5Cright%29%5Cright%29)
In order to determine g(h(-4)), first we need to determine h(-4), so
substituting t = -4 in h(t) = t + 4
h(t) = t + 4
h(-4) = -4 + 4
h(-4) = 0
so we can write
![\left(g\:\circ \:\:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)=g\left(0\right)](https://tex.z-dn.net/?f=%5Cleft%28g%5C%3A%5Ccirc%20%5C%3A%5C%3A%5C%3Ah%5Cright%29%5Cleft%28-4%5Cright%29%5C%3A%3Dg%5Cleft%28h%5Cleft%28-4%5Cright%29%5Cright%29%3Dg%5Cleft%280%5Cright%29)
now, to determine g(0), substitute t = 0 in g(t) = t² - 2v
g(t) = t² - 2
g(0) = (0)² - 2
g(0) = 0 - 2
g(0) = -2
so, finally we get
![\left(g\:\circ \:\:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)=g\left(0\right)=-2](https://tex.z-dn.net/?f=%5Cleft%28g%5C%3A%5Ccirc%20%5C%3A%5C%3A%5C%3Ah%5Cright%29%5Cleft%28-4%5Cright%29%5C%3A%3Dg%5Cleft%28h%5Cleft%28-4%5Cright%29%5Cright%29%3Dg%5Cleft%280%5Cright%29%3D-2)
Therefore,
![\left(g\:\circ \:\:\:h\right)\left(-4\right)=-2](https://tex.z-dn.net/?f=%5Cleft%28g%5C%3A%5Ccirc%20%5C%3A%5C%3A%5C%3Ah%5Cright%29%5Cleft%28-4%5Cright%29%3D-2)
Hence, option B) is true.
Answer:
Examples of PEMDAS: When we first learn math, equations only have one operation. We either add, subtract, multiply, or divide. Examples: 2 + 3 = 5 9 - 2 = 7 10 x 3 = 30 81/9 = 9.
Step-by-step explanation:
<span>Quotient of eight and
two
Qoutient means the answer of dividing 2 number
=> 8 / 2
=> 4
2. Four inches less than kimi
Four inches = 4in
kimi = x
=> 4-x</span>