1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Artist 52 [7]
3 years ago
11

If f(x)=-2x+7 and g(x)=x^2-2, what is [f o g](3)? -7 -1 1 7

Mathematics
1 answer:
marusya05 [52]3 years ago
7 0

Hello from MrBillDoesMath!

Answer:   21

Discussion:

g(3) = 3^2 -2 = 9 -2 = 7   =>

f(g(3)) = f ( 7) = 2(7) + 7 = 14 + 7 = 21

Thank you,

MrB


You might be interested in
If the expression x-3 has a value of -5,then which of the following represents the value of 3x-9
Angelina_Jolie [31]

Answer:

-15

Step-by-step explanation:

<em>Italics</em> by itself are comments, <em>italics</em> and <u>underlines</u> are helpful rules, bold highlights little facts.

x-3=-5 : since the expression 'x-3' is being assigned the value '-5'

We then isolate or leave the variable 'x' on one side, usually the left-hand side and move all constants (numbers without letters attached such as 3, 4, 5..etc.) and variables (letters such as x, y, a, b..etc.) that do not have 'x', to the right-hand side of the equality symbol (=). This also includes terms such as 5x, -2y, 50z..etc.

<em><u>(Remember that the opposite of multiplication is division and vice versa and the opposite of addition is subtraction and vice versa)</u>.</em>

To do that, we add 3 to both sides of the equation, because the opposite of subtraction is addition <em>(in this case 3 is being subtracted by x, therefore in order to cancel 3 on the left, we do the opposite of the operation).</em> By doing this, we effectively cancel 3 on the left and bring it to the right-hand side. After all, 3 cannot be in two places at once <em>(well not in this equation).</em>

x=-5+3 which is equal to -2.

Hence, x=-2

Now that we know what 'x' is we can work on the other expression: 3x-9

Substitute the value for 'x' (-2 is what we got) into the 'x' in the expression.

3(-2)-9=?

<em><u>(Remember that a positive number multiplied by a negative number will ALWAYS be a negative number. In other words, (+) × (-) = (-). Yes, this also includes a negative number multiplied by a positive number)</u>.</em>

Therefore, 3×(-2) will equal -6.

-6-9=-15

Hence, 3x-9=-15.

To make sure your answer is correct, do the equation backwards. Add 9 to -15 which would then give you -6.

Here's how that looks: 3x-9 (+9)= -15 (+9).

You would then be left with 3x=-6.

If you remembered the rule typed previously, I said in order to isolate 'x' we do the opposite of the operation. 3x means '3' multiplied by 'x', therefore the opposite of multiplication is division:

3x(÷3)=-6(÷3) ----> 3 divided by 3 equals 1. Anything multiplied by 1 will be equal to itself (x*1= x)

<em><u>(An asterisk can also symbolise multiplication).</u></em>

Therefore when 3x is divided by 3, the constants would cancel each other out, 1 would be left looking like this: 1x=... and 1x is the same as x by itself.

-6 divided by 3 is equal to -2 <em><u>(a positive divided by a negative will always be negative and vice versa)</u></em>.

Hence, x=-2.

8 0
3 years ago
What is the factored from of x^2-4x-5?
Aloiza [94]

its d, I just solved it...

7 0
3 years ago
Read 2 more answers
Which number line correctly graphs the numbers in the list?​
Oksana_A [137]

Answer:

the first option

Step-by-step explanation:

8 0
2 years ago
-8k + 6 = -10k + 10 SOMEONE HELP QUICKKKK
Amiraneli [1.4K]

Answer:

k = 2

Step-by-step explanation:

-8k + 6 = -10k + 10

-8k = -10k +4

2k = +4

2k / 2 = 4 / 2

k = 2

3 0
3 years ago
Read 2 more answers
Last month, you worked 41 hours the first week, 49 hours the second week, 48 hours the third week, and 46 hours the last week. F
inysia [295]

Answer:

46 hours

Step-by-step explanation:

1. add all the hours you've worked (41+49+48+46=184)

2. divide the sum by the number of weeks (184/4=46)

5 0
3 years ago
Other questions:
  • Nichior compared the slope of the function graphed to the slope of the linear function that has an x-intercept of 2/3 and a y-in
    5·1 answer
  • Every smoothie sold contains 0.5 cups of strawberries. How many smoothies can be sold using 3.25 cups of strawberries?
    10·2 answers
  • Mark and Henry win some money and share it in the ratio 1:3. Mark gets ?9. How much did Henry get?
    11·1 answer
  • The following ratios are equivalent 16 girls to 12 boys and 8 girls : 6 boys
    14·2 answers
  • Find the area of the following figure.
    15·1 answer
  • Find the equation of the line..<br><br> y= x+ <br><br> khan academy
    14·1 answer
  • How do u solve this?
    7·2 answers
  • F i have 3 - 3 friend how many do i have
    8·1 answer
  • In triangle ABC, mZA = 47° and mZB= 70°
    7·1 answer
  • to set up a model linear equation to fit real world applications, what should always be the first step?​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!