Question

Evaluate g(z+2) for the following function. g(z)=5z+1

Answer 1

To evaluate g(z+2) for g(z) = 5z + 1, substitute z+2 into the function, distribute the constant, and then combine like terms to get g(z+2) = 5z + 11.

Step-by-step explanation:

To evaluate g(z+2) for the function g(z) = 5z + 1, you need to substitute z+2 into the function wherever there is a z.

Here's how you do it step by step:

1. Start with the original function: g(z) = 5z + 1.
2. Substitute z+2 for z in the function: g(z+2) = 5(z + 2) + 1.
3. Distribute the 5: g(z+2) = 5z + 10 + 1.
4. Combine like terms: g(z+2) = 5z + 11.

Therefore, the function value for g(z+2) is 5z + 11.