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

A.(f + g)(x) = 6x2 – 4x – 14
B.(f + g)(x) = x2 – 9x – 2
C.(f + g)(x) = x2 – x – 2
D.(f + g)(x) = x2 + x – 14

User Rijam
by
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2 Answers

1 vote
Just add these like anything by combining like terms. When you do you will get
x^(2) +x-14
User Jose Zamudio
by
8.3k points
2 votes

Answer: D.
(f + g)(x)=x^2+ x -14

Explanation:

The given functions :
f(x) = 5x - 6 and
g(x) = x^2 - 4x -8

We know that , According to the Algebra of function , we have


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

Substitute the values of f(x) and g(x) , we get


(f + g)(x)= 5x - 6+ x^2 - 4x -8

Combine like terms,


(f + g)(x)=x^2+ 5x- 4x - 6-8

Simplify,


(f + g)(x)=x^2+ x - (6+8)


(f + g)(x)=x^2+ x -14

Hence,
(f + g)(x)=x^2+ x -14

Thus , the correct answer is option D.
(f + g)(x)=x^2+ x -14

User JULIIncognito
by
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