Question

g(x)=log(x+5) and g(x)=log(-x)

Answer 1

for g(x)=log(x+5) all that we're doing is taking f(x)=log(x) and shifting it 5 units to the left

Answer 2

for the second function, we're starting with the graph of f(x)=log(x) and reflecting it over the y-axis to get the graph of g(x)=log(-x)

Answer 3

equation of the vertical asymptotic

Answer 4

y intercept in (x,y) form

Answer 5

the equation of the vertical asymptote for g(x)=log(x+5) is x = -5 since this makes the argument equal to zero. The x-intercept is (-4,0)

Answer 6

the equation of the vertical asymptote for g(x)=log(-x) is x = 0 since this makes the argument equal to zero. The x-intercept is (-1,0)

Answer 7

\[g(x)=\log(x+5)\]

Equation of the vertical Asymptote:
X-intercept in (x,y) form:

Answer 8

g(x) = log(x+5)

Equation of the vertical Asymptote: x = -5
X-intercept in (x,y) form: (-4,0)

Answer 9

g(x) = log(-x)

Equation of the vertical Asymptote: x = 0
X-intercept in (x,y) form: (-1,0)