Need the answer so i can figure out & teach my neice

[Sooner2000]

Please help, tryin 2 help my neice...

 

[tkhunny]

If h(x) = 2x - 5, then

h(2) = 2(2) - 5
h(9) = 2(9) - 5
h(-x) = 2(-x) - 5
h(q) = 2(q) - 5
h(j(t)) = 2(j(t)) - 5
h(Pittsburgh) = 2(Pittsburgh) - 5
h(h(x)) = 2(h(x)) - 5 = 2(2x-5) - 5

 

[Dr.Peterson]

Here's the problem: [MATH]f(x) = \sqrt[3]{x^2+10x}[/MATH]; [MATH]g(x) = \frac{1}{4}f(-x)+6[/MATH]; so [MATH]g(x) = ?[/MATH]
To find [MATH]f(-x)[/MATH], replace [MATH]x[/MATH] in the expression for [MATH]f(x)[/MATH] with "[MATH]-x[/MATH]" and simplify.

Then, to find [MATH]g(x)[/MATH], replace [MATH]f(-x)[/MATH] in the expression for [MATH]g(x)[/MATH] with the expression you just got, and simplify.

Then show us your work, so we can see if you understand.

 

[Sooner2000]

How do you simplify? Unless you have a value for x, i do not see how i can simplify it for her

 

[Steven G]

The simplified answer will have an x in it.

You are trying to find g(x) which usually has an x in it. Sometimes g(x) can just equal a constant like 13.

Just figure out what f(-x) equals, denote that you are multiplying that by 1/4 and add to what you have.

If you need more help then 1st tell us what you have for f(-x).

 

[Sooner2000]

Is this correct?

 

[Cubist]

Is this correct?

Not quite.

You used -f(x) rather than f(-x). Please look again at the above posts. You'll get this soon!

And since you're struggling then please follow this advice...

If you need more help then 1st tell us what you have for f(-x).