Answer:
![(f o g)(x) = 3x + \frac{2}{3}](https://tex.z-dn.net/?f=%28f%20o%20g%29%28x%29%20%3D%203x%20%2B%20%5Cfrac%7B2%7D%7B3%7D)
Step-by-step explanation:
We have the function
and we have the function
. We want to find g(x) composed with f(x)
Then, the function (f o g)(x) is the same since f(g(x))
That is, you must do x = g(x) and then enter g(x) into the function f(x).
![f(g(x)) = (g(x)) -\frac{1}{3}](https://tex.z-dn.net/?f=f%28g%28x%29%29%20%3D%20%28g%28x%29%29%20-%5Cfrac%7B1%7D%7B3%7D)
![f(g(x)) = (3x + 1) -\frac{1}{3}](https://tex.z-dn.net/?f=f%28g%28x%29%29%20%3D%20%283x%20%2B%201%29%20-%5Cfrac%7B1%7D%7B3%7D)
Simplifying, we obtain:
![(f o g)(x) = 3x + 1 -\frac{1}{3}\\\\(f o g)(x) = 3x + \frac{2}{3}](https://tex.z-dn.net/?f=%28f%20o%20g%29%28x%29%20%3D%203x%20%2B%201%20-%5Cfrac%7B1%7D%7B3%7D%5C%5C%5C%5C%28f%20o%20g%29%28x%29%20%3D%203x%20%2B%20%5Cfrac%7B2%7D%7B3%7D)
Finally. The composite function is:
![(f o g)(x) = 3x + \frac{2}{3}](https://tex.z-dn.net/?f=%28f%20o%20g%29%28x%29%20%3D%203x%20%2B%20%5Cfrac%7B2%7D%7B3%7D)
Answer:
Original price reduced by 30%
Step-by-step explanation:
You want the deepest discount, which means you want the greatest percent/amount off. The first choice is 20%. The second is 30%. The third one is 25%, because you are paying for 75% (100-75). The second choice offers the deepest discount because it is 30% off.
Answer:
SSS similarity.
Step-by-step explanation:
Answer:
oh I see. that's an interesting question but the problem is I hate maths