SOLUTION: graph f(x) (x-5) / (x^2-16) solve the inequality f(x)

SOLUTION: graph f(x) (x-5) / (x^2-16) solve the inequality f(x) > 0

Question 100723: graph f(x) (x-5) / (x^2-16)
solve the inequality f(x) > 0
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
(x-5)/(x^2-16)>0
.
Let's solve for the inequality first.
We factor the denominator and get (x-4)(x+4)
.

.
Now we draw a number line and draw a line through it at -4, 4, and 5.
We have to find out whether our equation is positive or negative on either side of those lines.
.
let x=-5: -10/(25-16) is negative so when x<-4 the equation is <0. when x=-4 we would have division by zero.
.
let x=0: -5/-16 is positive so when -4>x<4: (x-5)/(x^2-16)>0
when x=4 we get another division by zero.
.
let x = 4.5: -.5/4.25 is negative so the equation is <0 between 4 and 5.
When x=5 the equation = 0.
.
let x=6: 1/20 is positive so when x>5: (x-5)/(x^2-16)>0
.
X(-4,4)U(5,infinity)
.
I tried to do the graph on our graphing utility but it didn't come out.
Ed
RELATED QUESTIONS
Use a calculator to graph f(x). Use the graph to solve f(x) > 0. (Enter your answer using (answered by greenestamps)

f(x) = -1/2x + 5/2 g(x) = -1/2x^2 + 3x - 5/2 USE THE GRAPHS to solve the inequality (answered by Alan3354)

Graph the inequality f(x) = [3x] +... (answered by stanbon)

For the Function f(x)=x^2-x+1 Find f(0) Solve... (answered by Fombitz)

Let f(x)=x^2 +8x Solve... (answered by MathLover1)

suppose the function : f(x)=4x^2-5x+1 Write down Df and solve inequality... (answered by Alan3354)

Graph and Evaluate the given formula: f(x){ x^2 + 1 ; x ≤ 0 { x - 1 ; x ≥ (answered by Fombitz)

Linear Function - Graph and evaluate the given formula: f(x){ x^2 + 1 ; x ≤ 0 { (answered by solver91311)

f is define as follows: f(x)=x(x+1) solve the inequality f(x)... (answered by josgarithmetic,ikleyn)