Question

Let m(x)=x²-1 and n(x)=2x+5. Evaluate each function and match each one to its correct answer. What is m(4)+n(2) ?.What is n (4) times m(6) ? What is m(n(3)) ?

Answer 1

To evaluate the given functions, substitute the values of x into the functions and perform the operations. For m(4)+n(2), m(4)=15 and n(2)=9, so the sum is 24. For n(4) times m(6), n(4)=13 and m(6)=35, so the product is 455. For m(n(3)), n(3)=11, so m(n(3)) is 120.

Step-by-step explanation:

To evaluate m(4), we substitute 4 for x in the function m(x)=x²-1: m(4) = (4)² - 1 = 16 - 1 = 15. To evaluate n(2), we substitute 2 for x in the function n(x)=2x+5: n(2) = 2(2) + 5 = 4 + 5 = 9.

To find m(4)+n(2), we add the results of m(4) and n(2): m(4)+n(2) = 15 + 9 = 24. To find n(4) times m(6), we first evaluate n(4) and m(6): n(4) = 2(4) + 5 = 8 + 5 = 13, and m(6) = (6)² - 1 = 36 - 1 = 35. Then we multiply n(4) and m(6): n(4) * m(6) = 13 * 35 = 455.

To find m(n(3)), we first evaluate n(3): n(3) = 2(3) + 5 = 6 + 5 = 11. Then we substitute 11 for x in the function m(x): m(n(3)) = (11)² - 1 = 121 - 1 = 120.