Question

The function f is defined by f(x)=5x+k, where k is a constant. Find k, if the value of f at x=2 is equal to 14.

Answer 1

We are given the function f(x) = 5x + k when k is a constant, x equals 2, and f(x) equals 14

Steps to solve:

14 = 5x + k; x = 2

~Substitute

14 = 5(2) + k

~Simplify

14 = 10 + k

~Subtract 10 to both sides

14 - 10 = 10 - 10 + k

~Simplfy

4 = k

Best of Luck!

Answer 2

Answer:

k = 4

Step-by-step explanation:

f(x)=5x+k

Let x =2

f(2) = 5*2 +k

f(2) = 10+k

We know f(2) = 14

14 = 10+k

Subtract 10 from each side

14-10 = 10+k-10

4 =k