# Algebra

posted by .

Given that f(x) = x^2-3 and g(x) = 2x+1, find each of the following, if it exists.

a. (fg)(-root3)

b. (gf)(-1/2)

• Algebra -

do you mean f(g(x)) ?

f(g(x))
= (g(x))^2 - 3
= (2x+1)^2 - 3

then (f(g(-√3))
= (-2√3 + 1)^2 - 3
= 12 - 4√3 + 1 - 3
= 10 - 4√3

do the other one the same way
remember this time you want
g(f(x))
= g(x^2-3)
= 2(x^2-3) + 1

• Algebra -

The first one was (fg)(-root3). Does this answer your ? Thanks for the help!

• Algebra -

What happend to the (-1/2) in the second problem?

## Similar Questions

1. ### Algebra

Given that f(x) = x^2 -3 and g(x) = 2x+1, find each of the follwing, if it exists. Problem 1 (f/g)(-root3) Problem 2 (g/f)(-1/2)
2. ### Algebra

Given that f(x) = x^2 -3 and g(x) = 2x+1, find each of the follwing, if it exists. Problem 1 (f/g)(-root3) Problem 2 (g/f)(-1/2)
3. ### Algebra

Given that f(x) = x^2 -3 and g(x) = 2x+1, find each of the follwing, if it exists. Problem 1 (f/g)(-root3) Problem 2 (g/f)(-1/2)
4. ### Algebra

Given that f(x) = x^2-3 and g(x) = 2x+1, find each of the following, if it exists. a. (fg)(-root3) b. (gf)(-1/2)
5. ### Algebra

Please help. I need to find the quotient function of the following: Given that f(x)=x^2-3 and g(x)=2x+1 find each of the following if it exists: a. (f/g)(-root3) b. (g/f)(-1/2)
6. ### Algebra

I need to find the quotient function of the following: Given that f(x)=x^2-3 and g(x)=2x+1 find each of the following if it exists: a. (f/g)(-root3) b. (g/f)(-1/2)
7. ### Algebra

I need to find the quotient function of the following: Given that f(x)=x^2-3 and g(x)=2x+1 find each of the following if it exists: a. (f/g)(-root3) b. (g/f)(-1/2)
8. ### Algebra

I need to find the quotient function of the following: Given that f(x)=x^2-3 and g(x)=2x+1 find each of the following if it exists: a. (f/g)(-root3) b. (g/f)(-1/2)
9. ### Algebra

That is not what the ? is asking. The ? is asking about how to get the quotient function, not the composite as you solved for. Can you please show us how to get the quotient function solution?
10. ### algebra

(1) if root x-a/x-b + a/b = root x-b/x-a + b/a, b not equal to a, then value of x is (2) if x = 2 root 24/root3+root2 then value of x+roo8/x-root8 + x+root12/x-root12 (3)if a = 2+root3/2-root3 & b = 2-root3/2+root3 then value of (a …

More Similar Questions