Let f(x)= x^2+1. Find and simplify the following:
(a) f(x-4)=
(b) f(x-4)-f(-4)
1 answer:
Answer:
f(x-4) = x²-8x + 17
f(x-4)-f(-4) = x²-8x
Step-by-step explanation:
Given the function:
f(x) = x^2+1
f(x-4) = (x-4)^2+1
f(x-4 ) = x² - 8x + 16 + 1
f(x-4) = x²-8x + 17
For f(x-4)-f(-4)
f(-4) = (-4)²+1
f(-4) = 16+1
f(-4) = 17
f(x-4)-f(-4) = x²-8x + 17 - 17
f(x-4)-f(-4) = x²-8x
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