Question

If f(2)=13f(2)=13, which could be the equation for f(x)f(x)?

A) f(x)=3x+7
B) f(x)=5x−2
C) f(x)=4x+5
D) f(x)=6x−1

Answer 1

The possible equations for f(x) that satisfy f(2) = 13 are f(x) = 3x + 7 and f(x) = 4x + 5.

Step-by-step explanation:

If f(2)=13, we can substitute the value of x into each equation to see if it matches the given condition.

A) f(x)=3x+7: f(2) = 3(2) + 7 = 13 (matches the condition)

B) f(x)=5x−2: f(2) = 5(2) − 2 = 8 ≠ 13

C) f(x)=4x+5: f(2) = 4(2) + 5 = 13 (matches the condition)

D) f(x)=6x−1: f(2) = 6(2) − 1 = 11 ≠ 13

Therefore, the possible equation for f(x) is f(x)=3x+7 (Option A) and f(x)=4x+5 (Option C).