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if $f(x) = -3x + 4$, what is the value of $2f(3) + f(-4)$?

Question

if $f(x) = -3x + 4$, what is the value of $2f(3) + f(-4)$?

Explanation:

Step1: 计算\(f(3)\)

将\(x = 3\)代入\(f(x)=-3x + 4\),得\(f(3)=-3\times3 + 4=-9 + 4=-5\)。

Step2: 计算\(f(-4)\)

将\(x = -4\)代入\(f(x)=-3x + 4\),得\(f(-4)=-3\times(-4)+4 = 12 + 4 = 16\)。

Step3: 计算\(2f(3)+f(-4)\)

将\(f(3)=-5\),\(f(-4)=16\)代入式子,得\(2\times(-5)+16=-10 + 16 = 6\)。

Answer:

\(6\)