Question

For the functions f(x) = 6x^2 + 16x - 6 and g(x) = x + 3, find:

A) f(1) = 16, g(1) = 4
B) f(1) = 16, g(1) = 6
C) f(1) = 24, g(1) = 4
D) f(1) = 24, g(1) = 6

Answer 1

We replace x with 1 in both functions, yielding f(1) = 16 and g(1) = 4. The substitution provides the correct answers for the functions at x equals 1.

Step-by-step explanation:

To find the values f(1) and g(1), we need to substitute x = 1 into each of the given functions. For f(x) = 6x^2 + 16x - 6, we get:

• f(1) = 6(1)^2 + 16(1) - 6
• f(1) = 6 + 16 - 6
• f(1) = 16

And for g(x) = x + 3, we have:

• g(1) = 1 + 3
• g(1) = 4

Therefore, the correct option is A) f(1) = 16, g(1) = 4.