Question

If f(x) = -2x - 3 and g(x) = x² - 5x, find the value of 3[g(n)].

Answer 1

To find the value of 3[g(n)] for g(x) = x² - 5x, first substitute 'n' into g(x) to get g(n) = n² - 5n, and then multiply by 3 to obtain 3n² - 15n.

Step-by-step explanation:

The student asked to find the value of 3[g(n)] where f(x) = -2x - 3 and g(x) = x² - 5x. To solve this, first, you need to substitute 'n' into the function g(x) to find g(n), then multiply the resulting expression by 3.

Here's how you do it step-by-step:

1. Substitute 'n' into g(x): g(n) = n² - 5n.
2. Multiply the result by 3: 3[g(n)] = 3(n² - 5n).
3. Simplify the expression: 3[g(n)] = 3n² - 15n.

The final expression, 3n² - 15n, is the value of 3[g(n)].