Functions f(x) and g(x) are composed to form h(x) = sqrt(x ^ 3- 2) if f(x) = sqrt(x + 2) and g(x) =x^3+a. What is the value of a

a = -4

Step-by-step explanation: Function Composition is when two functions f(x) and g(x) result in another function h(x), such that h(x) = f(g(x)). In other words, put the result of one function into the other one.

In this situation,

h(x) = f(g(x))

which means

h(x) = f(x³+a)

h(x) =

Now, to find a, we separate equal terms:

1) Both are squared, so we can "eliminate" the square;

2) x³ = x³;

3)

For function composition h(x) = f(g(x)), the value of a is -4.

3

step-by-step explanation:

f is the midpoint of