Final answer:
To evaluate the functions f(x) and g(x), a specific value must be substituted in place of x, and the corresponding arithmetic operations should be carried out for each function.
Step-by-step explanation:
The student has provided two functions f(x) = 4x + 3 and g(x) = x² + 4x − 1 and is asking for an evaluation of these functions. To evaluate these functions, you would substitute a specific value of x into both functions and then calculate the result for each function separately. If the question included a specific value for which to evaluate f and g, then we would compute f(value) and g(value) accordingly. It appears some reference has been made to completing the square, a method which can simplify solving quadratic equations, but this information is not directly relevant unless we're asked to solve for the variable x using the function g(x).
For example, to evaluate f(x) and g(x) at x = 1, you would calculate:
- f(1) = 4(1) + 3 = 7
- g(1) = 1² + 4(1) - 1 = 4
Substituting any other value into
f
and
g
would follow the same process: plug in the number for
x
, multiply and add accordingly, and simplify to find the results.