Question

supposed f(x) = 2^n - 3x and g(x) = 1 - 2x
What is (f + g)(x)?

Answer 1

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

Given:
- \(f(x) = 2^n - 3x\)
- \(g(x) = 1 - 2x\)

Now, we add the two functions:

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

Substituting the expressions for \(f(x)\) and \(g(x)\):

\[
(f + g)(x) = (2^n - 3x) + (1 - 2x)
\]

Now, combine the like terms:

\[
(f + g)(x) = 2^n + 1 - 3x - 2x
\]

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

Thus, the expression for \((f + g)(x)\) is:

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