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wel
4 years ago
10

Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k. k = ______ Graph of two lines. f of x equa

ls 1 over 3 x plus 2 and g of x equals 1 over 3 x plus 5
Mathematics
1 answer:
Nat2105 [25]4 years ago
7 0

Solution:

As given , g(x)= f(x) + k --------(1)

As also given : f(x) = \frac{1}{3}(x+2)

g(x) =  \frac{1}{3}(x+5)

Putting the value of f(x) and g(x) in equation (1).

→ \frac{1}{3}(x+5) = \frac{1}{3}(x+2) + k

→ \frac{1}{3}[x+5-x-2]= k

→ k = \frac{1}{3} \times 3=1

So , the value of k is 1.

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