if f(x+1)=3x+5, then find the value of f(x) and f(1).
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Answer:
3x + 2 and 5
Step-by-step explanation:
f(x+1) = 3(x) + 5
f(x) = 3(x-1) + 5
f(x) = 3x - 3 + 5
f(x) = 3x + 2
f(x+1) = 3x + 5
Substitute x = 0,
f(0+1) = 3(0) + 5
f(1) = 0 + 5
f(1) = 5
Hence, f(x) = 3x + 2 and f(1) = 5
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