Question

Let f(x) = sqrt(x + 2) for x ≥ -2 and g(x) = 3x - 7 for all real numbers.
a) Write down f(14).

Answer 1

To find f(14) for the function f(x) = sqrt(x + 2), we substitute x with 14, resulting in f(14) = sqrt(16), which simplifies to f(14) = 4.

Step-by-step explanation:

To determine the value of f(14), we will substitute x with 14 in the function f(x) = sqrt(x + 2). Since the function is defined for all x ≥ -2, and 14 is greater than -2, this is a valid operation.

Now we calculate:

• f(14) = sqrt(14 + 2)
• f(14) = sqrt(16)
• f(14) = 4

The value of f(14) is 4.