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3 years ago

If f(x)=3x+2 and g(x)=x-1/3 what is the value of f{g(7)}

Mathematics

1 answer:

Natali5045456 [20]3 years ago

3 0

Answer:

f(g(7)) = 22

Step-by-step explanation:

First find the general form of the new equation, f(g(x)):

f(x)=3x + 2

g(x)=x - 1/3

f(g(x)) = 3(x - 1/3) + 2

You can simplify that, or alternatively just plug in 7 now and solve:

f(g(7)) = 3(7 - 1/3) + 2

f(g(7)) = 3(20/3) + 2

f(g(7)) = 20 + 2

f(g(7)) = 22

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Find the explicit formula for the general nth term of the arithmetic sequence described below. Simplify your answer.

Alexandra [31]

$\boxed{a_{n}=-3+8(n-1)}$

<h2>Explanation:</h2>

The explicit formula for the general nth term of the arithmetic sequence is given by:

$a_{n}=a_{1}+d(n-1) \\ \\ \\ Where: \\ \\ a_{n}:nth \ term \\ \\ n:Number \ of \ terms \\ \\ a_{1}:First \ term \\ \\ d:common \ difference$

Here we know that:

$a_{1}=-3 \\ \\ a_{10}=69$

So, our goal is to find the common difference substituting into the formula:

$a_{10}=a_{1}+d(10-1) \\ \\ 69=-3+d(9) \\ \\ Solving \ for \ d: \\ \\ 9d=69+3 \\ \\ 9d=72 \\ \\ d=8$

Finally, we can write the explicit formula as:

$\boxed{a_{n}=-3+8(n-1)}$

<h2>Learn more:</h2>

Geometric series: brainly.com/question/1509142

#LearnWithBrainly

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3 years ago

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Natali5045456 [20]

Answer:

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Step-by-step explanation:

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2 years ago

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