To find f(-7), we plug -7 into the function f(x) = 3x^2 + 2f(x) + 3x + 2:
f(-7) = 3(-7)^2 + 2f(-7) + 3(-7) + 2
Simplifying the equation, we get:
f(-7) = 147 + 2f(-7) - 21 + 2
Rearranging the terms:
f(-7) - 2f(-7) = 147 - 19
Combining like terms:
-f(-7) = 128
Multiplying both sides by -1:
f(-7) = -128
Therefore, f(-7) is equal to -128.
Given f, left bracket, x, right bracket, equals, 3, x, squared, plus, 2f(x)=3x
2
+2, find f, left bracket, minus, 7, right bracketf(−7)
1 answer