Question

Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k. k = _______ Graph of f of x and g of x. f of x equals 1 over 3 x minus 3 and g of x equals 1 over 3 x plus 1 Numerical Answers Expected!

Answer 1

g(x) is the result of moving f(x) vertically up from -3 to 1

so k = 1 -(-3) = 4

Answer 2

The value of k is 4.

Explanation:

Given,

f of x equals 1 over 3 x minus 3,

`\implies f(x)=(1)/(3)x-3`

Also, g of x equals 1 over 3 x plus 1,

`\implies g(x)=(1)/(3)x+1`

Since, g(x) = f(x) + k,

By substituting the values,

`(1)/(3)x+1=(1)/(3)x-3+k`

`1=k-3`

`\implies k = 1+3 = 4`

Hence, the value of k is 4.