Answer:
![g(3)=2](https://img.qammunity.org/2023/formulas/mathematics/college/1u1rg1299fpdldq5y1gigim37rb23qghmk.png)
Explanation:
Givens
We are given a function:
![g(x)=8-2x](https://img.qammunity.org/2023/formulas/mathematics/college/bnpi349jq56wirrq9j38fabda104ay59jg.png)
We are asked to find g(3).
Solve
First, substitute 3 as x in g(x):
![g(x)=8-2x\\\\g(3)=8-2x](https://img.qammunity.org/2023/formulas/mathematics/college/cq1ubb015p7yl2ti0pub0gdhxzwl13a5fw.png)
Then, substitute 3 as x in the function:
![g(3)=8-2x\\\\g(3)=8-2(3)](https://img.qammunity.org/2023/formulas/mathematics/college/yw2o625s1y4t7y656jiaftf7feh5bajpz7.png)
Simplify the function by multiplying 2(3):
![g(3)=8-2(3)\\\\g(3)=8-6](https://img.qammunity.org/2023/formulas/mathematics/college/btuir8pymtd4aakuuj3n7ijaldiaqgw18a.png)
Then, simplify by performing the final necessary arithmetic:
![g(3)=8-6\\\\g(3)=2](https://img.qammunity.org/2023/formulas/mathematics/college/gtq4040mmvqi8l95erkx954hx7n2i97zrn.png)
Final Answer
Therefore, g(3) = 2.