Practice with Functions
Not what you're looking for?
I need some help to push me through with functions. (Please see the Attached Questions File)
5. Perform the requested operation or operations.
f(x) = 2x - 9, g(x) = 4x - 4
Find (f - g)(x)
Answer. -2x - 5
6. Compare the graph of the given quadratic function f with the graph of y = x2
f(x) = (x - 8)2 + 4
Answer. a translation 8 units right and 4 units up
Solve the problem
Find (f ° g)(3) when f(x) = -5x + 2 and g(x) = 8x2 + 9x + 7
Answer: -528
8. Compute and simplify the difference quotient
f(x + h) - f(x)
H
, h ≠ 0.
Answer: 4
10. Consider the function h as defined. Find functions f and g so that (f ° g)(x) = h(x).
h(x) = 10/x^2 +4
answer. f(x) = x + 4, g(x) = 10/x^2
11. Solve the problem.
Find (f °g)(-6) when f(x) = 4x + 4 and g(x) = 6x2 - 3x - 6.
Answer: 916
13. Determine whether or not the function is one-to-one.
15. Perform the requested operation or operations.
f(x) = 9x - 4, g(x) = 6x - 6
Find (f - g)(x).
Answer: 3x + 2
16. Graph the basic function using a solid line and the transformed function using a dotted line.
y = -3 |x|
20. Solve the problem
Select the equation that describes the graph shown
A. y = (x + 2)2- 4
B. y = (x + 4)2 + 2
C. y = (x - 4)2 + 2
D. y = x2 - 4
Purchase this Solution
Solution Summary
Neat and Step-by-step Solutions to all questions. Graphs (if any) are also included.
Solution Preview
The solution file is attached.
5. Perform the requested operation or operations.
f(x) = 2x - 9, g(x) = 4x - 4
Find (f - g)(x)
(f - g)(-x) = 2x - 9 - (4x - 4) = 2x - 9 - 4x + 4 = -2x - 5
Answer. -2x - 5
6. Compare the graph of the given quadratic function f with the graph of y = x2
f(x) = (x - 8)2 + 4
.
Answer. a translation 8 units right and 4 units up (This answer is correct!)
Solve the problem
Find (f ° g)(3) when f(x) = -5x + 2 and g(x) = 8x2 + 9x + 7
(f O ...
Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Probability Quiz
Some questions on probability