Given the function h of x equals 8 times the cube root of x minus 6 end root plus 16, what is the x-intercept of the function?
1 answer:
The x-intercept of the function is -2
The equation of the function is given as:
The x intercept is the x value when h(x) = 0
So, we have:
Subtract 16 from both sides
Divide both sides by 8
Take the cube of both sides
x - 6 = -8
Add 6 to both sides
x = -2
Hence, the x-intercept of the function is -2
Read more about x-intercept at:
#SPJ1
You might be interested in
Answer:
Step-by-step explanation:
The goal to solving any equation is to have x = {something}. That means we need to get the x out from underneath that radical. It's a square root, so we can "undo" it by squaring. Square both sides because this is an equation. Squaring both sides gives you
Get everything on one side of the equals sign and set the quadratic equal to 0:
Throw this into the quadratic formula to get that the solutions are x = 5 and -8. We need to see if only one works, both work, or neither work in the original equation.
Does ?
and
and 5 = 5. So 5 works. Let's try -8 now:
and
so
-8 = 8? No it doesn't. So only 5 works. Your choice is the third one down.