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If f (x) = -2x + 5 , what is ...

If ` f (x) = -2x + 5 ` , what is ` f ( -3x ) ` equal to ?

A

` - 6x - 5 `

B

` 6x + 5 `

C

` 6x - 5 `

D

` 6x ^ 2 - 15x `

Text Solution

AI Generated Solution

The correct Answer is:
To find \( f(-3x) \) given that \( f(x) = -2x + 5 \), we will follow these steps: ### Step 1: Substitute \(-3x\) into the function We start with the function definition: \[ f(x) = -2x + 5 \] Now, we need to find \( f(-3x) \). This means we will replace \( x \) in the function with \(-3x\): \[ f(-3x) = -2(-3x) + 5 \] ### Step 2: Simplify the expression Next, we simplify the expression: \[ f(-3x) = -2 \cdot (-3x) + 5 \] Calculating \(-2 \cdot (-3x)\): \[ -2 \cdot (-3x) = 6x \] So now we have: \[ f(-3x) = 6x + 5 \] ### Step 3: Final result Thus, the final result is: \[ f(-3x) = 6x + 5 \]
To find \( f(-3x) \) given that \( f(x) = -2x + 5 \), we will follow these steps: ### Step 1: Substitute \(-3x\) into the function We start with the function definition: \[ f(x) = -2x + 5 \] Now, we need to find \( f(-3x) \). This means we will replace \( x \) in the function with \(-3x\): ...
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