Answer:
(4.5,0) x intercept
(0,-1) y intercept
Step-by-step explanation:
f(x) = log (2x+1) -1
y = log (2x+1) -1
To find the x intercept, set y = 0 and solve for x
0 = log (2x+1) -1
Add 1 to each side
1 = log (2x+1)-1+1
1 = log (2x+1)
Raise each side to the power of 10
10^1 = 10^ log(2x+1)
10 = 2x+1
Subtract 1 from each side
10-1 = 2x+1-1
9 = 2x
Divide by 2
9/2 =2x/2
4.5=x
The x intercept is 4.5
(4.5,0)
To find the y intercept, set x = 0 and solve for y
y = log (1) -1
y = 0 -1
y = -1
The y intercept is -1
(0,-1)
