Question

For f(x) = 2x-1 and g(x) = x²+3 find the value of 3 [f(4)+g(1)]

Answer 1

To find the value of 3 [f(4) + g(1)], we calculate f(4) = 7 and g(1) = 4 separately using the functions f(x) = 2x - 1 and g(x) = x² + 3, then add them to get 11, and finally multiply by 3 to obtain the answer, which is 33.

Step-by-step explanation:

To find the value of 3 [f(4) + g(1)], we first need to evaluate f(4) and g(1) using the given functions f(x) = 2x - 1 and g(x) = x² + 3.

For f(4), we substitute 4 into the function:

1. f(4) = 2(4) - 1
2. f(4) = 8 - 1
3. f(4) = 7

For g(1), we substitute 1 into the function:

1. g(1) = (1)² + 3
2. g(1) = 1 + 3
3. g(1) = 4

Now we add f(4) and g(1):

• f(4) + g(1) = 7 + 4
• f(4) + g(1) = 11

Finally, we multiply this sum by 3:

• 3 [f(4) + g(1)] = 3 * 11
• 3 [f(4) + g(1)] = 33

Therefore, the value of 3 [f(4) + g(1)] is 33.