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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