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Let f and g be defined as f(x) = x -5 and g (x)=x² -1 and

f + g?​


Sagot :

Answer:

To find \( (f + g)(x) \), we need to add the functions \( f(x) \) and \( g(x) \).

Given:

\[ f(x) = x - 5 \]

\[ g(x) = x^2 - 1 \]

The sum of the functions \( f \) and \( g \) is defined as:

\[ (f + g)(x) = f(x) + g(x) \]

Substitute the given functions:

\[ (f + g)(x) = (x - 5) + (x^2 - 1) \]

Combine like terms:

\[ (f + g)(x) = x^2 + x - 5 - 1 \]

\[ (f + g)(x) = x^2 + x - 6 \]

So, \( (f + g)(x) = x^2 + x - 6 \).

Answer:

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