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What is $(f - g)(x)$ ? $\newline$ $f(x) = -5x + 6$ $\newline$ $g(x) = 2x$ $\newline$ Write your answer as a polynomial or a rational function in simplest form. $\newline$ ______

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Add and subtract functions

Full solution

Q. What is

(f - g)(x)

?

\newline

f(x) = -5x + 6

\newline

g(x) = 2x

\newline

Write your answer as a polynomial or a rational function in simplest form.

\newline

______

Identify Formula: Identify the formula for $(f - g)(x)$ . $(f - g)(x)$ is the difference between $f(x)$ and $g(x)$ . $(f - g)(x) = f(x) - g(x)$
Given Functions: We have: $\newline$ $f(x) = -5x + 6$ $\newline$ $g(x) = 2x$ $\newline$ Now, let's find $(f - g)(x)$ by substituting the given functions. $\newline$ $(f - g)(x) = f(x) - g(x)$ $\newline$ $(f - g)(x) = (-5x + 6) - (2x)$
Simplify Expression: Simplify the expression by distributing the negative sign and combining like terms. $\newline$ $(f - g)(x) = -5x + 6 - 2x$ $\newline$ $(f - g)(x) = -5x - 2x + 6$ $\newline$ $(f - g)(x) = -7x + 6$

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Question

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Question

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Question

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