Question

Evaluate as requested: Given that g(x) = 5x^3, find g(6 + h).

Answer 1

To evaluate g(6 + h), substitute 6 + h into the function g(x) = 5x^3. Expand the expression using the binomial theorem to simplify the function.

Step-by-step explanation:

To evaluate g(6 + h), we need to substitute the value of 6 + h into the function g(x) = 5x^3. So, we substitute 6 + h for x in the function:

g(6 + h) = 5(6 + h)^3

To simplify further, we can expand the expression using the binomial theorem:

g(6 + h) = 5(216 + 108h + 18h^2 + h^3)

Now, the function g(6 + h) is evaluated.