Question

If f(x) = 5x – 2 and g(x) = 4x^2 – 1, what is the value of f(2) + g(3)?

a) 58
b) 43
c) 27
d) 50

Answer 1

To find the value of f(2) + g(3), calculate f(2) by substituting x with 2 in the function f(x) to get 8, and calculate g(3) by substituting x with 3 in the function g(x) to get 35. Adding these two results gives us 43, which is the answer.

Step-by-step explanation:

To find the value of f(2) + g(3), first we need to substitute x with 2 in the function f(x) and then substitute x with 3 in the function g(x).

For the function f(x) = 5x – 2, when x = 2:

f(2) = 5(2) – 2 = 10 – 2 = 8

For the function g(x) = 4x² – 1, when x = 3:

g(3) = 4(3²) – 1 = 4(9) – 1 = 36 – 1 = 35

Now, we add the results of f(2) and g(3) together:

f(2) + g(3) = 8 + 35 = 43

So, the value of f(2) + g(3) is 43, which corresponds to option (b).