For the following questions use:

f(x) = −16x² + 49

g(x) = 4x + 7

1.Find (f + g)(x)

2.Find (f − g)(x)

3. Find (f × g)(x)

4. Find (f ÷ g)(x)

5. Find [g(x)]²

6. Find

7. Find

8. Find the inverse function

9. Find the y-intercept for f(x)

10. Find the x-intercepts for f(x)

11. Find the axis of symmetry for f(x)

12. Find the vertex (h, k) for f(x)

13. Sketch a graph of the function f(x)

14. Does the function open up or open down?

15. Does the function f(x) pass the vertical line test?

16. Does the function f(x) pass the horizontal line test?

17. For a vertex at (h, k) the standard form of a quadratic equation is f(x) = a(x − h)² + k. Write f(x) in standard form.

18. For the x > 0 positive branch of f(x), find