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Sunny_sXe [5.5K]
3 years ago
11

If f(x)=2x-1 and g(x)=x^2-3x-2 find (f+g)(x)

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
4 0

Answer:

(f+g)(x) =  x²-x-3

Step-by-step explanation:

We have given functions.

f(x)=2x-1 and g(x)=x²-3x-2

We have to find the sum of two functions.

(f+g)(x) = ?

The formula to find the sum of two function:

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

Putting given values in above formula, we have

(f+g)(x) = 2x-1+x²-3x-2

Adding like terms, we have

(f+g)(x) = x²+(-3+2)x+(-1-2)

(f+g)(x) =  x²+(-1)x+(-3)

(f+g)(x) =  x²-x-3 which is the answer.

Komok [63]3 years ago
3 0

Answer:

(f+g)(x)=x^2-x-3.

Step-by-step explanation:

The given functions are;

f(x)=2x-1

and

g(x)=x^2-3x-2

Recall that;

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

\Rightarrow (f+g)(x)=2x-1+x^2-3x-2.

Regroup the like terms to get;

(f+g)(x)=x^2-3x+2x-2-1.

Simplify;

(f+g)(x)=x^2-x-3.

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