Algebra 2
Practice Quiz 6.3 -6.6
*** Show your work ***
For questions #1-4, use
2
f ( x)  x 2  x and g ( x)  3x
3
Name: _____________________
6. What is the solution to -5x3 = 625?
1. What is f(x) – g(x)?
2. What is g(x) – f(x)?
7. What is the domain and range of
a) f ( x)  2 3 x  3  7
3. What is f ( x)  g ( x) ?
Domain: _________________
Range: ___________________
b) j ( x)  3 x  7  2
4. What is f ( g (2)) ?
Domain: _________________
Range: ___________________
5. Table below
x
1
y
2
5
3
-1
2
3
7
Is this a function? _____________
Ordered pairs – Inverse relation:
{__________________________________
Is the inverse a function? ______________
8. Using f(x) from problem #7. Evaluate f(30).
Solve the following equations. Make sure to check your solution, show your work & circle your
final answer.
3
9.
√5𝑥 + 2 = 3
10. x  2  2 x  1
Check:
Check:
4
3
6 x  7  2 x  1
11. (2 x  1)  6  75
12.
Check:
Check:
13.
x 5  x 1
Check:
14.
3
2x  5  3 7 x  1  0
Check:
Graph the equations. Include at least four specific points, including the transformation (h, k). State
the transformation (h,k), domain and range.
15. j ( x)   x  1  3
(h, k):
16. f ( x)  2 3 x  3  1
(h, k): ________
________
Domain:______________
Domain:______________
Range:____________
Range:____________
Write the equation of the function. You may assume that leading coefficient is positive or negative 1
17.
18.
(h,k): _________
(h,k): _________
f(x)=__________________
f(x)=__________________
19. If j ( x)  2 x 2  1 and k ( x ) 
value of j k (4)
21. Find the inverse of g ( x) 
8
find the
x
1 3
x 7
3
22. Given the graph of f(x), draw the graph of
f 1 ( x ) .
20. Use compositions to verify whether f(x) and
g(x) are inverses:
x7
a) f ( x)  2 x  7, g ( x) 
2
b) f ( x)  3 x  9, g ( x) 
x
9
3
23. Find g(g(x)) when g(x) = -3x +1.
1
Perform the operations when f(x) = 10x - 5, g(x) = 8x2 -2, and h(x) =  x  3 2 and state domain of
the function.
25. g(h(x))
f ( x)
24.
g ( x)
Domain:
Domain: