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 subtract the function \(g(x)\) from \(f(x)\).

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

Now, compute \((f - g)(x)\):

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

Distributing the negative sign:

\[
= 2^n - 3x - 1 + 2x
\]

Now combine like terms:

\[
= 2^n - 1 - 3x + 2x
\]

This simplifies to:

\[
= 2^n - 1 - x
\]

Thus, \((f - g)(x) = 2^n - 1 - x\).