Answer:
[tex]k = \frac{4}{5} [/tex]
Step-by-step explanation:
We know from the graph
[tex]g(x) = - \frac{1}{5} [/tex]
and
[tex]f(x) = 1[/tex]
using the given equation we can solve
[tex] - \frac{1}{5} = k - 1 \\ [/tex]
subtract 1 from both sides so that k is isolated
[tex] \frac{4}{5} = k[/tex]
