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Tems11 [23]
1 year ago
15

If f(x) = 5x 6 and g(x) = x2 - 4x-8, find (f+ g)(x).

Mathematics
1 answer:
vredina [299]1 year ago
7 0

The value of (f + g)(x) is x² + x - 14

Given: f(x) = 5x - 6

g(x) = x² - 4x - 8.

To find the value of (f + g)(x)

What are functions?

Functions are expressions or a rule that defines the relation between different variables which are described for a given problem.

Let's solve the question:

f(x) = 5x - 6

g(x) = x² - 4x - 8

We know from the algebra of functions that:

(f + g)(x) = f(x) + g(x)

f(x) + g(x) = (5x - 6) + (x² - 4x - 8)

Now grouping like terms:

= x² + (5x - 4x) + (-6 - 8)

= x² + x - 14

Therefore, (f + g)(x) is x² + x - 14

Hence the value of (f + g)(x) is x² + x - 14

Know more about "functions" here: brainly.com/question/12431044

#SPJ9    

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4 0
3 years ago
From a group of 8 volunteers, including Andrew and Karen, 4 people are to be selected at random to organize a charity event. Wha
Helga [31]

Answer:

The correct option is D. 2/7

Step-by-step explanation:

Consider the provided information.

There are 8 volunteers including Andrew and Karen, 4 people are to be selected at random to organize a charity event.

We need to determine the probability Andrew will be among the 4 volunteers selected and Karen will not.

We want to select Andrew and 3 others but not Karen in the group.

Thus, the number of ways to select 3 member out of 8-2=6

(We subtract 2 from 8 because Andrew is already selected and we don't want Karen to be selected, so subtract 2 from 8.)

The required probability is:

\dfrac{^6C_3}{^8C_4}=\dfrac{\frac{6!}{3!3!}}{\frac{8!}{4!4!}}\\\\\\\dfrac{^6C_3}{^8C_4}=\frac{20}{70}\\\\\\\dfrac{^6C_3}{^8C_4}=\dfrac{2}{7}

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