let \(f(x) = ax^7 + bx^3 + cx - 5.\) if \(f(-7) = 7,\) then find \(f(7).\)
f(x) = a(-7)^7 + b(-7)^3 + c(-7) - 5 = 7
-a(7)^7 - b(7)^3 - c(7) = 12
- [ a(7)^7 + b(7)^3 + c(7)] = 12
[ a(7)^7 + b(7)^3 +c(7) ] = -12
So f(7) =
[ - 12 ] - 5 =
-19
