Lesson 5: Function Operations — Practice Questions

1. 1. For the functions $f(x) = 4x + 3$ and $g(x) = 2x + 5$, find the composition $(g \circ f)(x)$. $(g \circ f)(x) = $ ___.

2. 2. For the functions $f(x) = 2x$ and $g(x) = 3x^2 - 1$, find the product $(f \cdot g)(x)$. $(f \cdot g)(x) = $ ___.

3. 3. For the functions $f(x) = 6x - 5$ and $g(x) = 4x + 1$, find the composition $(g \circ f)(x)$. $(g \circ f)(x) = $ ___.

4. 4. For the functions $f(x) = 4x + 3$ and $g(x) = 2x + 5$, find the product $(f \cdot g)(x)$. $(f \cdot g)(x) = $ ___.

5. 5. For the functions $f(x) = 3x$ and $g(x) = 2x^2 - 3x$, find the composition $(g \circ f)(x)$. $(g \circ f)(x) = $ ___.

6. 6. For the functions $f(x) = 4x + 3$ and $g(x) = 2x + 5$, find the composition $(f \circ g)(x)$. $(f \circ g)(x) = $ ___.

7. 7. For the functions $f(x) = 3x - 1$ and $g(x) = 5x - 3$, find the composition $(g \circ f)(x)$. $(g \circ f)(x) = $ ___.

8. 8. For the functions $f(x) = 3x$ and $g(x) = 2x^2 - 3x$, find the composition $(f \circ g)(x)$. $(f \circ g)(x) = $ ___.

9. 9. For the functions $f(x) = 6x - 5$ and $g(x) = 4x + 1$, find the composition $(f \circ g)(x)$. $(f \circ g)(x) = $ ___.

10. 10. For the functions $f(x) = 2x$ and $g(x) = 3x^2 - 1$, find the composition $(f \circ g)(x)$. $(f \circ g)(x) = $ ___.