Answer:
x^2+x-4
Step-by-step explanation:
(f-g)=(x^2+1)-(5-x)
=x^2+1-5+x
=x^2+x-4
The result for the given function is (f – g)(x) = [tex]x^{2}[/tex] + [tex]x[/tex] - 4.
A function is an association between inputs in which every input is connected to only one output.
If two functions are such that f(x) and g(x), have limits at the same values (say a), the limit of (f - g)(x) is the difference between the two limits at an as 'x' tends to 'a', according to the subtraction property for limits.
(f - g)(x) = f(x) - g (x)
Calculation for the value of given function.
Function f(x) is given as [tex]x^{2}[/tex] + 1.
Function g(x) is given as 5 - [tex]x[/tex].
By the subtraction formula of functions,
(f - g)(x) = [tex]x^{2}[/tex] + 1 - (5 - [tex]x[/tex])
= [tex]x^{2}[/tex] + 1 - 5 + [tex]x[/tex]
= [tex]x^{2}[/tex] + [tex]x[/tex] - 4
Therefore, the value of the function comes out to be
(f - g)(x) = x² + x - 4
To know more about addition and subtraction of functions; here
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