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Iteru [2.4K]
3 years ago
15

Given: f(x) = x2, g(x) = x + 6, h(x) = 7 Find g{fſh(x)}}. 20 169 55

Mathematics
1 answer:
IRISSAK [1]3 years ago
5 0

Answer:

20 or 55

Step-by-step explanation:

It depends because i am not sure what f(x) is.

Case 1: f(x)=x^2

We know h(x)=7 hence f(h(x))=7^2=49 hence g(f(h(x)))=49+6=55

Case 2: f(x)=x*2

We know h(x)=7 hence f(h(x))=2*7=14 hence g(f(h(x)))=14+6=20

Note: x^2 is x to the power of 2 while x*2 is x times 2.

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Determine if the graph is a function then state the domain and range.
nignag [31]
<h3><u>Explanation</u></h3>

A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.

<u>Line</u><u> </u><u>Test</u>

  1. Draw a vertical line. Make sure that a line passes through a graph.
  2. See if a line intercepts a graph more than one point or just only one.

<u>Result</u>

If a line intercepts a graph more than one point, it is not a function.

However, if a line only intercepts a graph just one point, it is indeed a function.

The given graph from the question is a function because it passes line test.

<u>Domain</u><u> </u><u>and</u><u> </u><u>Range</u>

Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.

Range is the set of all y-values. We only focus on y-value or y-axis for Range.

<u>Determine</u><u> </u><u>Domain</u><u> </u><u>from</u><u> </u><u>Graph</u>

We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.

<u>Determine</u><u> </u><u>Range</u><u> </u><u>from</u><u> </u><u>Graph</u>

Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.

From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.

<h3><u>Answer</u></h3>

<u>\begin{cases} x \in  \mathbb{R} \\ y \geqslant 0 \end{cases}</u>

<u>Domain</u><u> </u><u>is</u><u> </u><u>set</u><u> </u><u>of</u><u> </u><u>all</u><u> </u><u>real</u><u> </u><u>numbers</u><u>.</u>

<u>Range</u><u> </u><u>is</u><u> </u><u>greater</u><u> </u><u>or</u><u> </u><u>equal</u><u> </u><u>to</u><u> </u><u>0</u><u>.</u>

8 0
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Alja [10]

Answer:

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8 0
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Mademuasel [1]

Answer: 35

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Then the number of dimes, using

ONE PART = TOTAL MINUS OTHER PART,

is 35-x. ( hope this helps have a good day/night :)  )

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Answer:

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