Final answer:
To find 5f(x) + 2, substitute the given function f(x) = 3x² - 7x + 4 into the expression and simplify.
Step-by-step explanation:
To find 5f(x) + 2, we need to substitute the given function f(x) = 3x² - 7x + 4 into the expression.
First, multiply f(x) by 5: 5f(x) = 5(3x² - 7x + 4).
Simplify using the distributive property: 5f(x) = 15x² - 35x + 20.
Finally, add 2 to the expression: 5f(x) + 2 = 15x² - 35x + 20 + 2 = 15x² - 35x + 22.