Question

Please answer correctly!

Answer 1

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)