Algebra

posted by Joy

Find ​(f◦​g)(x) and ​(g◦​f)(x).
I keep getting lost on these f(x) and g(x)problems

1. Steve

​(f◦​g) = f(g) = 4g^2+3 = 4(4x-2)^2+3
​(g◦f) = g(f) = 4f-2 = 4(4x^2+3)-2
now just simplify

sometimes it helps not to include all those (x)'s
​(f◦​g)(x) = f(g(x)) = f(4x-2) = 4(4x-2)^2+3
you can replace g first or evaluate f(g) and then plug in g

Similar Questions

1. Algebra

Evalute the function at the given value of the independent variable and simplify. f(x)=2x^2-5x+6; f(x-1)- I got 2x^2-9x+13 I still keep on getting the same answer.

3. math

How do i find the area of a triangle? For example: A squared + b squared= c squared 8.5 squared + 6.4 squared= c squared 72.25 + 40.96= c squared 113.21=c squared 10.6400188=c even tho i thought this was the answer it is not because
4. math

Remove the parenthises and simplify: 8p+3q-9(8p-5q+9r) I have gotten lost on this one. Anyone have any ideas?
5. algebra

Please help me! Sorry there are 4 questions I need to check my attempts with to see if I am on track. Thanks!! 1. 5-3[2(3x-4)+3] 2. Evaluate when x = -3 and y = 2 3x squared - 4y squared _______________________ 4x - 7y 3. -3/4y = -24 …
6. Math

Using the example: (a+b)(a+b)= a squared -b squared, we are asked to multiply and simplify (b+3d)(b-3d). Hint: Do not use distributive property. Shouldn't the answer be b squared - 9d squared?
7. Math

I was wondering if I solved these problems right?
8. math

4. What are the coefficients in the polynomial 7x^2 - 4x + 6?
9. Math

Find the shortcut. Solve these problems. Then find and explain a shortcut method for finding the answer. 52(Squared) - 42 (squared) = 82 (Squared) - 72 (Squared) = 122 (Squared) - 112 (Squared) = 312 (Squared) - 302 (Squared) = 892 …
10. algebra

in equation x - 1/x ________ x + 1/x My answer key said the answer was x squared -1 _____________ squared + 1 I'm wandering why it wouldn't simply be x-1 ______ x+1

More Similar Questions