Question

Given the function f(x)=3x+1 and the linear function g(x)=4x−5, which function has a greater value when x=3?

a) f(x) is greater
b) g(x) is greater
c) f(x) and g(x) are the same when x=3
d) g(x) is undefined when x=3

Answer 1

By evaluating both functions at x=3, we find that f(3)=10 and g(3)=7. Hence, f(x) has a greater value than g(x) when x=3.

Step-by-step explanation:

To determine which function has a greater value when x=3, we evaluate both functions at that point and compare the results:

For function f(x)=3x+1:

• f(3) = 3(3) + 1 = 9 + 1 = 10

For the linear function g(x)=4x−5:

• g(3) = 4(3) - 5 = 12 - 5 = 7

Comparing these results, f(x) is greater than g(x) at x=3. Therefore, the correct answer is a) f(x) is greater.