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Vadim26 [7]
3 years ago
14

If f(x) = 2x2 + 1 and g(x) = x2 – 7, find (f – g)(x).

Mathematics
1 answer:
nadya68 [22]3 years ago
5 0

Answer:  The required value is

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

Step-by-step explanation: The given functions are:

f(x)=2x^2+1,\\\\g(x)=x^2-7.

We are given to find the value of (f-g)(x).

We know that, if s(x) and t(x) are any two functions of a variable x, then we have

(s-t)(x)=s(x)-t(x).

Therefore, we have

(f-g)(x)\\\\=f(x)-g(x)\\\\=(2x^2+1)-(x^2-7)\\\\=2x^2+1-x^2+7\\\\=x^2+8.

Thus, the required value is

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

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