Question

Use the functions f(x) =2x²+3 and g(x) =3x -4 to evaluate the composite function f(g(2)).

a. 62
b. 54
c. 48
d. 46

Answer 1

To evaluate the composite function f(g(2)), substitute 2 into the function g(x) and then substitute the result into the function f(x). The value of f(g(2)) is 11.

Step-by-step explanation:

To evaluate the composite function f(g(2)), we first substitute 2 into the function g(x):

g(2) = 3(2) - 4 = 6 - 4 = 2

Next, we substitute the result from g(2) into the function f(x):

f(g(2)) = f(2) = 2(2)^2 + 3 = 2(4) + 3 = 8 + 3 = 11

Therefore, the value of f(g(2)) is 11.