# Operations with Functions

**Question description**

Let f(x) = -3x^1/3 + 4x^1/2 and g(x) = 5x^1/3 + 4x^1/2 Preform the indicated operation and state the domain.

1. f(x) + g(x)

2. f(x) - g(x)

Let f(x) = 4x^2/3 and g(x) = 5x^1/2 Preform the indicated operation and state the domain.

3. f(x) * g(x)

4. f(x) / g(x)

Let f(x) = 3x + 2, g(x) = -x^2 and h(x) = x - 2 / 5 Find the indicated value.

5. f(g(-3))

6. h(g(5))

Let f(x) = 3x^-1, g(x) - 2x - 7, and h(x) = x + 4 / 3 Preform the indicated operation and state the domain.

7. f(g(x))

8. g(f(x))

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