Final answer:
To determine when the function f(x)=3x³+4x²-59x-13 is greater than 7, we set up the inequality f(x) > 7 and solve it by finding the values of x that make the function greater than 7.
Step-by-step explanation:
To determine when the function f(x)=3x³+4x²-59x-13 is greater than 7, we set up the inequality f(x) > 7.
The next step is to solve the inequality by finding the values of x that make the function greater than 7. We can do this by graphing the function or by factoring. To factor, we first calculate when the function equals 7 and find the x-intercepts. Then, we can identify the intervals where the function is greater than 7.
After solving, the function f(x) is greater than 7 for the intervals (-∞, x₁) and (x₂, ∞), where x₁ and x₂ are the x-values of the x-intercepts found from factoring the function.