Question

Let h and g be two functions defined by

h(x)=4x^2-5
g(x)=7x-2

for any real number x .
Find h/g(-4) and then find all values that are NOT in the domain of h/g .

Answer 1

h(x)/g(x) =(4x^2-5)/(7x-2)
Now,
h/g(-4) =(4(-4)^2 -5) / (7(-4) -2)

Answer 2

Simplify it.

Answer 3

59/26

Answer 4

?

Answer 5

59/(-30)

Answer 6

damn haha okay now what

Answer 7

Now, h/g is undefined when denominator is 0
SO, find for what value of x the denominator will be 0

Answer 8

@kaelyb can u?

Answer 9

hmm i dont know what it would be!

Answer 10

for what value of x 7x-2 is 0

Answer 11

Hint: 7x-2=0
Now, solve for x

Answer 12

ohhh gotchu haha 2/7

Answer 13

So, when x=2/7 the denominator is 0. so 2/7 is not in the domain of h/g

Answer 14

okay cool thanks!

Answer 15

welcome