Question

supposed f(x) = 6x^2 + 2x - 7 and g(x) = 4x + 3
What is (f - g)(x)?

Answer 1

To find \((f - g)(x)\), we need to subtract \(g(x)\) from \(f(x)\).

Given:
\[
f(x) = 6x^2 + 2x - 7
\]
\[
g(x) = 4x + 3
\]

The subtraction can be performed as follows:
\[
(f - g)(x) = f(x) - g(x)
\]
\[
= (6x^2 + 2x - 7) - (4x + 3)
\]

Now, distribute the negative sign across \(g(x)\):
\[
= 6x^2 + 2x - 7 - 4x - 3
\]

Now, combine like terms:
\[
= 6x^2 + (2x - 4x) + (-7 - 3)
\]
\[
= 6x^2 - 2x - 10
\]

Thus, the result is:
\[
(f - g)(x) = 6x^2 - 2x - 10
\]