Question

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

Answer 1

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

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