Question

Find the indicated value of the given function: g(x) = 9x² + 10; g(6) is equal to:

a) 574
b) 394
c) 244
d) 388

Answer 1

The value of the function g(x) = 9x² + 10 at x = 6 is 334, which is calculated by substituting x with 6 (g(6) = 9(6)² + 10 = 9(36) + 10 = 324 + 10 = 334). None of the multiple-choice options provided match the correct answer.

Step-by-step explanation:

The student has asked for the value of the function g(x) = 9x² + 10 at x = 6. To find this, we simply substitute x with 6 in the function:

g(6) = 9(6)² + 10

First, we calculate 6 squared which is 36. Multiplying 36 by 9 gives us 324. Finally, adding 10 to 324 gives us:

g(6) = 9(36) + 10 = 324 + 10 = 334

Therefore, the value of g(6) is 334, which means none of the options provided (a) 574, (b) 394, (c) 244, (d) 388 are correct.