Question

If g(x) = x-3 and 1(x) = √, find (g∘1)(25).
a) 20
b) 22
c) 23
d) 26

Answer 1

The composition (g \circ 1)(25) is calculated by first taking the square root of 25, which is 5, and then subtracting 3, which gives 2. The result is not among the listed options, suggesting a possible error in the question or options.

Step-by-step explanation:

To find (g \circ 1)(25), we need to first apply the function l to 25, and then apply the function g to the result. The function l is defined as the square root, so we find l(25) which is the square root of 25. So l(25) = \sqrt{25} = 5. Next, we apply the function g to this result: g(5) = 5 - 3. Therefore, g(5) = 2.

The result of (g \circ 1)(25) is 2, which is not listed in the given options a) 20, b) 22, c) 23, d) 26, indicating there might be either a typo in the question or the provided options.