# math

posted by .

for the given functions f and g find f o g and state the domain show all work f(x)=sqrt x-3 g(x)=x^2-7x+9

• math -

Usually f o g is defined as f(g(x))
f o g = f(x^2 - 7x + 9)
= √(x^2 - 7x + 9) - 3

if you meant to type f(x) = √(x-3) make the necessary adjustments, I read it just the way you typed it, i.e.
f(x) = √x - 3

• math -

Reiny,

that is correct, but I cannot type the squareroot sign with my computer - how do I find the domain, of this function?

• math -

the only thing to worry about for the domain is that the expression
x^2 - 7x + 9 > 0

look at the corresponding parabola
y = x^2 - 7x + 9
it has x-intercepts of
x = (7 ± √13)/2
so it will be negative between those two values

domain:
x < (7 - √13)/2 OR x > (7+√13)/2

## Similar Questions

1. ### Math 4

For the given functions f(x) = ln(x) , g(x) = |x| - 7, h(x)=5x+6 find f o g o h and state the exact domain of f o g o h. P lease show all of your work.
2. ### precalculus

For the given functions f ,g , and h , find fogoh and state the exact domain of fogoh . Please show all of your work. f(x)=e^x g(x)=sqrt x h(x)=2x^2+3x-35
3. ### precal

For the given functions f ,g and h, find f o g o h and state the exact domain of f o g o h. Please show all of your work. F(x)=inx g(x)=/x/-7 h(x)=5x+6
4. ### Math

for the given functions f and g find the following and state the domain of each result f(x)=3x+1/8x-9; g(x)=5x/8x-9 A) (f+g)(x)=?
5. ### MATH

for the given functions f and g find the following and state the domain of each result f(x)=3x+1/8x-9; g(x)=5x/8x-9 A) (f+g)(x)=?
6. ### college alg

for the given functions f and g find the following and state the domain of each result f(x)=3x+1/8x-9; g(x)=5x/8x-9 (they look like fractions) A) (f+g)(x)=?
7. ### college algebra

For the given functions f and g find the following and state the domain of each. f(x)=sqrt x; g(x)=7x-3 A.what is the domain of f*g?
8. ### calculus

for the given functions f&g, find the following and state the domain of each result. f(x)=5x+4/7x-8; g(x)=2x/7x-8 a.(f+g)(x)= ?
9. ### calculus

for the given functions f and g, find the following and state the domain of each. f(x)=square root x; g(x)=5x-1 a. (f*g)(x)= ?
10. ### Calculus

Find the sum and difference functions f + g and f – g for the functions given. f(x) = 2x + 6 and g(x) = 2x - 6 f(x) = x^2 - x and g(x) = -3x + 1 f(x) = 3x^3 - 4 and g(x) = -x^2 + 3 State the domain and range for the sum and difference …

More Similar Questions