Question

Can someone help?

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 equals 3 x plus 2 and g of x equals 1 over 3 x plus 5

Answer 1

@campbell_st

Answer 2

can I just check

\[g(x) = \frac{1}{3} x + 5\]

Answer 3

?

Answer 4

or is it

\[g(x) = \frac{1}{3x + 5}\]

Answer 5

No i think its the other one.

Answer 6

ok... so

\[\frac{1}{3} x + 5 = 3x + 2 + k\]

so \[k = -2\frac{2}{3}x + 3\]

Answer 7

Thats it?

Answer 8

well if you look at it

\[3x - 2\frac{2}{3} x = \frac{1}{3} x\]

and for the constant term

\[2 + 3 = 5\]

combining them you get g(x)

Answer 9

Oh ok!! Thank you again!