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oksano4ka [1.4K]
3 years ago
5

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!
Mathematics
2 answers:
olga55 [171]3 years ago
8 0

Answer:

The value of k is 4.

Step-by-step explanation:

Given,

f of x equals 1 over 3 x minus 3,

\implies f(x)=\frac{1}{3}x-3

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

\implies g(x)=\frac{1}{3}x+1

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

By substituting the values,

\frac{1}{3}x+1=\frac{1}{3}x-3+k

1=k-3

\implies k = 1+3 = 4

Hence, the value of k is 4.

Vladimir79 [104]3 years ago
6 0
G(x) is the result of moving f(x) vertically up from -3 to 1

so k = 1 -(-3) = 4
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