Questions: f(x)=8x-4, g(x)=4x-9 Find (f-g)(x).

f(x)=8x-4, g(x)=4x-9 Find (f-g)(x).
Transcript text: \[ f(x)=8 x-4, g(x)=4 x-9 \] Find $(f-g)(x)$.
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Solution

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Solution Steps

Step 1: Write down the given functions

The given functions are: \[ f(x) = 8x - 4, \quad g(x) = 4x - 9 \]

Step 2: Subtract \( g(x) \) from \( f(x) \)

To find \( (f - g)(x) \), subtract \( g(x) \) from \( f(x) \): \[ (f - g)(x) = f(x) - g(x) = (8x - 4) - (4x - 9) \]

Step 3: Simplify the expression

Remove the parentheses and combine like terms: \[ (f - g)(x) = 8x - 4 - 4x + 9 = (8x - 4x) + (-4 + 9) = 4x + 5 \]

Final Answer

\(\boxed{4x + 5}\)

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