Final answer:
The student's question involves a quadratic function, g(x), which can be analyzed for various properties. Without additional context, it's unclear how g=(1+5m) relates to the function, but g(1) can be found by substituting x=1 into g(x).
Step-by-step explanation:
The student has presented a question regarding the function g(x)=2x^2+18x-14 and a statement g=(1+5m). It appears there may be a misunderstanding or typo, as the latter statement is not clearly related to the function given.
For clarity, we will focus on explaining the function g(x), which is a quadratic equation y = ax^2 + bx + c and can be analyzed for its properties such as vertex, axis of symmetry, and intercepts.
If g=(1+5m) is meant to represent g(1) with m being the variable, then we could substitute x=1 into g(x) and find the value of g(1) in terms of m.
To properly address the question, one would need additional context or clarification from the student.
However, if we treat m as a variable, g(1) would be the value of the function when x=1, which can be found by plugging in x=1 into the quadratic equation and solving for g(1).