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2 years ago

7

The table shown below shows some values for functions f(x) and g(x). What is/are the solution(s) to f(x)=g(x)? Explain your answ

er(s).
x –3 –2 –1 0 1 2
f(x) 81 27 9 3 1 1⁄3
g(x) 6 7.5 9 10.5 12 13.5

1 answer:

salantis [7]2 years ago

5 0

Answer:

x = -1

Step-by-step explanation:

Both tables show a function value of 9 for x = -1.

x = -1 is the solution to f(x) = g(x), since f(-1) = 9 = g(-1).

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<h3>i) collect like terms</h3>

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<h3>To ProvE :- </h3>

1 + 3 + 5 + ..... + (2n - 1) = n²

<u>Method</u><u> </u><u>:</u><u>-</u>

If P(n) is a statement such that ,

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Step 1 : <u>Put </u><u>n </u><u>=</u><u> </u><u>1</u><u> </u><u>:</u><u>-</u><u> </u>

$\sf\longrightarrow LHS = \boxed{\sf 1 } \\$

$\sf\longrightarrow RHS = n^2 = 1^2 = \boxed{\sf 1 }$

Step 2 : <u>Assume </u><u>that </u><u>P(</u><u>n)</u><u> </u><u>is </u><u>true </u><u>for </u><u>n </u><u>=</u><u> </u><u>k </u><u>:</u><u>-</u>

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Adding and subtracting 1 to LHS .

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Take out 2 as common .

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<em>*</em><em>*</em><em>Edits</em><em> are</em><em> welcomed</em><em>*</em><em>*</em>

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