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Let f be a function f(x)=5x+2, x∈N, Find...

Let `f` be a function `f(x)=5x+2`, `x∈N`, Find the image of `3,4,5`.

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To find the image of the values 3, 4, and 5 under the function \( f(x) = 5x + 2 \), we will substitute each of these values into the function. ### Step-by-step Solution: 1. **Identify the function**: We have the function defined as: \[ f(x) = 5x + 2 \] 2. **Calculate the image of 3**: - Substitute \( x = 3 \) into the function: \[ f(3) = 5(3) + 2 \] - Calculate: \[ f(3) = 15 + 2 = 17 \] 3. **Calculate the image of 4**: - Substitute \( x = 4 \) into the function: \[ f(4) = 5(4) + 2 \] - Calculate: \[ f(4) = 20 + 2 = 22 \] 4. **Calculate the image of 5**: - Substitute \( x = 5 \) into the function: \[ f(5) = 5(5) + 2 \] - Calculate: \[ f(5) = 25 + 2 = 27 \] 5. **Summarize the results**: - The images of 3, 4, and 5 under the function \( f(x) \) are: \[ f(3) = 17, \quad f(4) = 22, \quad f(5) = 27 \] ### Final Answer: The images of 3, 4, and 5 are \( 17, 22, \) and \( 27 \) respectively.
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