Evaluating Functions in Reverse Style
Algebra
Level
pending
Find the sum of all coefficients, exponents, and constants of f(x) by using the given function above.
The answer is 9.
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1 solution
Given: f(x-1) = 2x^2 -4x +7
Find: f(x) and the sum of all coefficients, exponents and constants of f(x).
Solution: f(x-1) = 2x^2 -4x +7 f(x-1) = 2x^2 -4x +2 +5 f(x-1) = 2(x^2-2x+1) +5 f(x-1) = 2(x-1)^2+5 f(x) = 2x^2 +5 Sum of all coefficients, exponents and constants of f(x): 2+2+5 = 9