I am having a problem with solving a composite function in Algebra 1
How do I solve f(x) = -2x + 1 and g(x) = 4x? Don't I need more info?
No, that is all you need.
I it unclear what you want to do here.
see http://library.thinkquest.org/C0110248/algebra/functions_c.htm
(F°f)(x)=-2(-2x+1)+1
=4x-2+1
=4x-1
G(x)=4x
X=-4
F(x)=g(x)
4x-1=-4
4x=-4+1
4x=-3
X=-3/4
X=-0,75
or x and y intercepts
To solve the composite function f(g(x)), you need to substitute g(x) into f(x) and simplify. Here are the steps to solve for f(g(x)):
1. Start with the given function f(x) = -2x + 1 and g(x) = 4x.
2. Substitute the function g(x) into f(x), which means replacing every occurrence of x in f(x) with g(x):
f(g(x)) = -2(g(x)) + 1
3. Substitute g(x) with its corresponding expression:
f(g(x)) = -2(4x) + 1
4. Simplify the expression:
f(g(x)) = -8x + 1
Therefore, the composite function f(g(x)) simplifies to -8x + 1.
To solve for a composite function, you need to find the composition of two functions, f(x) and g(x). In this case, we have f(x) = -2x + 1 and g(x) = 4x.
To find the composite function f(g(x)), follow these steps:
1. Replace the variable x in f(x) with the entire function g(x). This means replacing x in f(x) with 4x.
So, f(g(x)) = -2(4x) + 1.
2. Simplify the expression inside f(x) by performing the operation in the parentheses first, then applying the multiplication.
f(g(x)) = -8x + 1.
Thus, the composite function f(g(x)) is -8x + 1.
Note that you don't need any additional information in this case, as you have already been given the functions f(x) and g(x).