Question

Suppose f(x) = 3x-1 and g(x) = |-2x+4|. Find f(4).
a) 11
b) 12
c) 13
d) 14

Answer 1

To find f(4), substitute x = 4 into the function f(x) = 3x - 1. The result is f(4) = 11.

Step-by-step explanation:

To find f(4), we substitute x = 4 into the function f(x) = 3x - 1:

f(4) = 3(4) - 1

f(4) = 12 - 1

f(4) = 11

Therefore, f(4) equals 11.

Answer 2

Suppose f(x) = 3x-1 and g(x) = |-2x+4|. Then f(4) = 11

Therefore, correct option is a) f(4) = 11

Step-by-step explanation:

To find f(4), substitute x = 4 into the function f(x) = 3x - 1. So, f(4) = 3 * 4 - 1 = 12 - 1 = 11. Therefore, the answer is 11, corresponding to option (a).

Understanding function notation and substituting the given value into the function allows us to compute the specific output value for that input.

Exploring function notation and evaluating functions at specific points is a fundamental concept in algebra, providing a basis for understanding mathematical relationships and modeling real-world situations.

Therefore, correct option is a) f(4) = 11