Final answer:
In the given function f(x) = 3x² + 4x + 19, the value of f(-7) is 138.
Step-by-step explanation:
To find f(-7), we substitute -7 for x in the given function f(x) = 3x² + 4x + 19:
f(-7) = 3(-7)² + 4(-7) + 19
Simplifying:
f(-7) = 3(49) - 28 + 19
f(-7) = 147 - 28 + 19
f(-7) = 138
So therefore, the value of f(-7) = 138.