To find f(-2), substitute -2 for x in the given equation f(x+1) = 3x + 5. We get f(-2+1) = 3(-2) + 5, which simplifies to f(-1) = -1. Therefore, f(-2) = -1.
To find f(3x), substitute 3x for x in the given equation f(x+1) = 3x + 5. We get f(3x+1) = 3(3x) + 5, which simplifies to f(3x+1) = 9x + 5. Therefore, f(3x) = 9x + 5.
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Verified answer
Step-by-step explanation:
Given, f(x+1) = 3x+5
To find f(-2), we substitute x = -3 in the given equation:
f(-2+1) = 3(-2)+5
f(-1) = -1
Therefore, f(-2) = f((-1)-1) = f(-2) = 3(-1)+5 = 2
To find f(3x), we substitute x = (3x)-1 in the given equation:
f((3x)+1) = 3(3x)-1+5
f(3x+1) = 9x+4
Therefore, f(3x) = f((3x-1)+1) = f(3x) = 9x+4 - 3 = 9x+1.
Answer:
f(-2) = -1 and f(3x) = 9x + 2
Step-by-step explanation:
To find f(-2), substitute -2 for x in the given equation f(x+1) = 3x + 5. We get f(-2+1) = 3(-2) + 5, which simplifies to f(-1) = -1. Therefore, f(-2) = -1.
To find f(3x), substitute 3x for x in the given equation f(x+1) = 3x + 5. We get f(3x+1) = 3(3x) + 5, which simplifies to f(3x+1) = 9x + 5. Therefore, f(3x) = 9x + 5.
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