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HACTEHA [7]
3 years ago
9

You are permitted to use your calculator to solve an equation, find the derivative of a function at a point, or calculate the va

lue of a definite integral. However, you must clearly indicate the setup of your question, namely the equation, function, or integral you are using. If you use other built-in features or programs, you must show the mathematical steps necessary to produce your results. Your work must be expressed in standard mathematical notation rather than calculator syntax.
Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tables, or other objects that you use. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. Your work will be scored on the correctness and completeness of your methods as well as your answers. Answers without supporting work will usually not receive credit. Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point.

Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number.

x -3 0 3 6
f(x) -5 4 1 7
f'(x) -1 2 -2 4

The table above gives values of a twice-differentiable function f and its first derivative f' for selected values of x. Let g be the function defined by

g(x)= f(x^3-x )

Required:
What is the value of g (3)?
Mathematics
1 answer:
BartSMP [9]3 years ago
4 0

Answer:

Step-by-step explanation:

Not hard

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Which point corresponds to the real zero of the graph of y = log3 (x+2) - 1?
brilliants [131]

Answer:

(1, 0 )

Step-by-step explanation:

using the rule of logarithms

log_{b} x = n ⇒ x = b^{n} , then

y = log_{3} (x + 2) - 1

to find the zero let y = 0 , that is

log_{3} (x + 2) - 1 = 0 ( add 1 to both sides )

log_{3} (x + 2) = 1 , then

x + 2 = 3^{1} = 3 ( subtract 2 from both sides )

x = 1

the zero is (1, 0 )

8 0
2 years ago
If 9 is less than 3 times a certain number is 15 find the number. Please answer!!!!
Fiesta28 [93]

Answer:

8 is the number

Step-by-step explanation:

3x8= 24

24-9 is 15

3 0
2 years ago
Which are solutions of the equation 4x2 – 7x = 3x + 24? Check all that apply.
SCORPION-xisa [38]

Answer:

{-3/2, 4}

Step-by-step explanation:

Use synthetic division here.  If the remainder is 0, then the divisor is a root or solution.

Here we have x = -4.  Perform the synthetic division as follows:

-4       4     -10    -24

                 -16     108

------------------------------

          4      -26     84              The remainder is 84, which tells us -4 is NOT

                                                a root/solution.

Try -3/2 as divisor this time:

-3/2    4     -10    -24

                   -6    24

------------------------------

          4      -16       0            Remainder is 0, so -3/2 is a solution

Show in the same manner that 4 is a solution also.  Or determine whether x - 4 satisfies 4x - 16 = 0 (it does).

8 0
3 years ago
Read 2 more answers
The point (-7, -24) is on the terminal ray of angle θ which is in standard position. A student found the six trigonometric value
12345 [234]

Answer:

the first one

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Mrs.Harris has a coupon for a 25% on any one book. The regular cost of the book she wants to buy is $32. What will be the discou
makkiz [27]

\frac{25}{100}*32=8

The discount will be 8$

7 0
3 years ago
Read 2 more answers
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