Question

If

f(x)=3x−4 and
g(x)=x ^2
, find the value of
f(3)−g(2).

A)
f(3)−g(2)=5
B)
f(3)−g(2)=−2
C)
f(3)−g(2)=−7
D)
f(3)−g(2)=10

Answer 1

After evaluating the functions f(3) and g(2) separately and performing the subtraction, the value of f(3) − g(2) equaling 1 is found. None of the options provided match the calculated answer, suggesting there might be a typo in the question or options.

Step-by-step explanation:

To find the value of f(3) − g(2), we first need to evaluate each function separately with the given inputs. For the function f(x) = 3x − 4, substitute x with 3 to get f(3). For the function g(x) = x^2, substitute x with 2 to get g(2).

Firstly, evaluate f(3):
f(3) = 3(3) − 4 = 9 − 4 = 5.

Secondly, evaluate g(2):
g(2) = (2)^2 = 4.

Now, subtract g(2) from f(3):
f(3) − g(2) = 5 − 4 = 1.

The correct answer to the question is not listed in the provided options, hence either there is a typo in the question or in the options. The calculated answer is 1, assuming there were no errors in the initial functions provided.