Answer:
9
Step-by-step explanation:
Based on the order of operations, this would be 3 times 3, which is 9 I think.
The answer is 2.5 because the point is at the middle. Hope this’ll help
Answer:
The interval notation for the domain is
.
Step-by-step explanation:
Consider the provided information.
It is given that ![\:f\left(x\right)=\sqrt{3x-2},\:\text{ and }\:g\left(x\right)=x-7](https://tex.z-dn.net/?f=%5C%3Af%5Cleft%28x%5Cright%29%3D%5Csqrt%7B3x-2%7D%2C%5C%3A%5Ctext%7B%20and%20%7D%5C%3Ag%5Cleft%28x%5Cright%29%3Dx-7)
We need to find the value of
.
Put the value of g(x) in
.
....(1)
Now, put x=x-7 in ![\:f\left(x\right)=\sqrt{3x-2}](https://tex.z-dn.net/?f=%5C%3Af%5Cleft%28x%5Cright%29%3D%5Csqrt%7B3x-2%7D)
![\:f\left(x-7\right)= \sqrt{3(x-7)-2}](https://tex.z-dn.net/?f=%5C%3Af%5Cleft%28x-7%5Cright%29%3D%20%5Csqrt%7B3%28x-7%29-2%7D)
![\:f\left(x-7\right)= \sqrt{3x-21-2}](https://tex.z-dn.net/?f=%5C%3Af%5Cleft%28x-7%5Cright%29%3D%20%5Csqrt%7B3x-21-2%7D)
![\:f\left(x-7\right)= \sqrt{3x-23}](https://tex.z-dn.net/?f=%5C%3Af%5Cleft%28x-7%5Cright%29%3D%20%5Csqrt%7B3x-23%7D)
From equation 1.
![f\left(g\left(x\right)\right)=\:f\left(x-7\right)= \sqrt{3x-23}](https://tex.z-dn.net/?f=f%5Cleft%28g%5Cleft%28x%5Cright%29%5Cright%29%3D%5C%3Af%5Cleft%28x-7%5Cright%29%3D%20%5Csqrt%7B3x-23%7D)
The domain of the function is the set of input values for which a function is defined.
Here, the value of
should be greater or equal to 0 as the square root of a negative number is not real.
Domain= ![3x-23\geq0](https://tex.z-dn.net/?f=3x-23%5Cgeq0)
The value of x is all real number greater than
.
Hence, the interval notation for the domain is
.
B)
The corect answer for this question