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Flura [38]
3 years ago
11

For f(x)=4x+1 and g(x)=x^2-5 , find (f-g) (x) .

Mathematics
2 answers:
Yuri [45]3 years ago
7 0
I hope this helps you

Ainat [17]3 years ago
6 0

Keywords:

<em>Functions, subtraction, operation of functions</em>

For this case, we are given two functions of the form y_ {1} = f (x), where f (x) = 4x + 1 andy_ {2} = g (x), where g (x) = x ^ 2-5. We must find the subtraction (f-g) (x). So, by definition of operation of functions we have to:

(f-g) (x) = f (x) -g (x)

So, we have:

(f-g) (x) = 4x + 1- (x ^ 2-5)

Knowing that: - * + = -\ and\ - * - = +

(f-g) (x) = 4x + 1-x ^ 2 + 5\\(f-g) (x) = - x ^ 2 + 4x + 6

Answer:

(f-g) (x)is given by-x ^ 2 + 4x + 6

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