Question

If h() = 5 + x and k(x) -

which expression is equivalent to (ko h)(x)?
Option 1: 5 + (x - 5)
Option 2: 5x
Option 3: 5(x + 5)
Option 4: 5x - 5

Answer 1

Without the explicit form of function k(x), we cannot verify which expression is equivalent to (ko h)(x). Assuming k(x) = k * x, the composition would be k * 5 + k * x, but this still doesn't match any of the given options.

Step-by-step explanation:

The student is asking about function composition, which is when one function is applied to the result of another function. Since we have h(x) = 5 + x and we want to find the composition (k o h)(x), we would replace the x in function k with the whole function h(x), which is (5 + x). Without the explicit form of function k(x), we cannot determine the exact composition; however, assuming k(x) = k * x, where k is a constant, we can evaluate the equivalent expression.

Using this assumption, if k(x) = k * x, then (k o h)(x) would be k(5 + x) = k * 5 + k * x. This composition does not match any of the four given options exactly, unless k = 5, which would make the equivalent expression 5 * 5 + 5 * x, or 25 + 5x. Nevertheless, without knowing the explicit form of k(x), none of the given options can be verified.