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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!

Respuesta :

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

so k = 1 -(-3) = 4

Answer:

The value of k is 4.

Step-by-step explanation:

Given,

f of x equals 1 over 3 x minus 3,

[tex]\implies f(x)=\frac{1}{3}x-3[/tex]

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

[tex]\implies g(x)=\frac{1}{3}x+1[/tex]

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

By substituting the values,

[tex]\frac{1}{3}x+1=\frac{1}{3}x-3+k[/tex]

[tex]1=k-3[/tex]

[tex]\implies k = 1+3 = 4[/tex]

Hence, the value of k is 4.

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