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sineoko [7]
3 years ago
10

Use the graph to determine the values listed F(-10)= F(-4)= F(-2)= F(0)= F(3)=

Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0
  • F(-10) = -6
  • F(-4) = 0
  • F(-2) = 2
  • F(3) = -7
  • F(0) = -1

<u>Step-by-step explanation:</u>

From the following figure, We can see that we have a graph with different lines where some points are included and some are not . Let's find out the listed values using graph:

<u>F(-10):</u>

From the graph F(-10) = -6 , basically we draw a horizontal line from value of x in graph and see where does that line cut y-axis , and that point is the value of function .

<u>F(-4):</u>

From the graph F(-4) = 0 , basically we draw a horizontal line from value of x in graph and see where does that line cut y-axis , and that point is the value of function .

<u>F(-2):</u>

From the graph F(-2) = 2 , basically we draw a horizontal line from value of x in graph and see where does that line cut y-axis , and that point is the value of function .

<u>F(0):</u>

From the graph F(0) = -1 , basically we draw a horizontal line from value of x in graph and see where does that line cut y-axis , and that point is the value of function .

<u>F(3):</u>

From the graph F(3) = -7 , basically we draw a horizontal line from value of x in graph and see where does that line cut y-axis , and that point is the value of function .

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Answer:

f(g(9)) = 945/16

Step-by-step explanation:

To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).

g(x) = x + 3/4

f(x) = x² - 4x - 3

f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3

f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3

f(g(x)) = x² - 5/2x + 9/16 + 3 - 3

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Now, put a 9 wherever there is an x in f(g(x)).

f(g(9)) = (9)² - 5/2(9) + 9/16

f(g(9)) = 81 - 5/2(9) + 9/16

f(g(9)) = 81 - 45/2 + 9/16

f(g(9)) = 117/2 + 9/16

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3 years ago
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