The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve x - 4 = 0 ⇒ x = 4 ( is a vertical asymptote )

There is a zero when the numerator equals zero.

x + 4 = 0 ⇒ x = - 4 ( is a zero )

domain is [-4 , 4 ) ∪ ( 4 , ∞ )

6 0

4 years ago

How do you solve 8m+5=5m +7 showing all the steps

Rama09 [41]

Answer:

2/3

Step-by-step explanation:

8m+5=5m+7

8m-5m+5=7

3m+5=7

3m=7-5

3m=2

m=2/3

3 0

3 years ago

Read 2 more answers

What is the value of this expression 1/4−3 ? 12 1/12 64 1/64

kompoz [17]

1/4^(-3) = 4^3 = 64.

8 0

3 years ago

A gravel company sells gravel by the cubic yard and charges a flat delivery fee. The table shows the total cost C based on the a

Sergio039 [100]

Answer:

Step-by-step explanation:

The cost for 0 cubic yards of gravel refers to the y-intercept of the function.

First, we find the constant ratio of change

$r=\frac{284-124}{7-2}=\frac{160}{5}=32$

The constant ratio of change is 32, that means the cost per cubic yard of gravel is $32.

Now, we just subtract this ratio twice to find the relations until we have x = 0.

$124 -32= 92$

So, for 1 cubic yard, the cost is $92.

$92-32=60$

For 0 cubic yards, the cost is $60, that's the y-intercept or the initial condition.

Therefore, the answer is $60.

6 0

3 years ago