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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 = ______ (1 point)

Graph of f of x and g of x. f of x equals 1 over 3 x minus 2 and g of x equals 1 over 3 x plus 3.

Respuesta :

Answer:

Given the graph [tex]f(x) = \frac{1}{3}x -2[/tex] and [tex]g(x) = \frac{1}{3}x + 3[/tex]

We have to find the value of k;

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

[tex]\frac{1}{3}x+3 = \frac{1}{3}x-2 +k[/tex]

Subtract [tex]\frac{1}{3}x[/tex] from both sides we get;

[tex]3 = -2 +k[/tex]

Add 2 to both sides we get;

[tex]3+2 = -2 +k +2[/tex]

Simplify:

[tex]5 = k[/tex]

or

k = 5

Therefore, the value of k = 5

Answer:

k=4

Step-by-step explanation:

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