For this case we have the following functions:
We must find f (g (x)). So:
Finally we have to:
For the function to be defined the denominator must be different from 0. That is x different from -3.
Answer:
Option B
9514 1404 393
Explanation:
This is a self-answering question: you solve it by graphing the equations.
<em>The solution is where the lines intersect</em>. The point of intersection of the lines is the point that satisfies all the equations for the lines, hence is a solution to the system. If they do not intersect, there are no solutions. If the lines are coincident, there are an infinite number of solutions.
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The equations can be graphed by any of a number of methods. (My favorite is to let a graphing calculator do it.) The method of choice depends on the coefficients and the form the equations are given in. Methods of graphing are a topic for a more lengthy discussion.
Answer:
y=65x
Step-by-step explanation:
x represents the # of hours
Answer:
x=1 is the solution of the equation 2x+4=10−4x
Step-by-step explanation:
The graphs of f(x)=2x+4 and g(x)=10−4x intersect at (1, 6)
2x +4 = 10 - 4x
We need to solve for x by combining like terms
Add 4x on both sides
6x + 4= 10
Now subtract 4 on both sides
6x = 6
divide both sides by 6
x= 1
x=1 is the solution of the equation 2x+4=10−4x
