Given the function f(x) and f(g), the composite result function f(g(x)) is 3x - 16.
<h3>What is the composite result function f(g(x))?</h3>
Given the functions in the question;
- f(x) = 3x + 5
- g(x) = x - 7
- f(g(x)) = ?
To determine f(g(x)), we set up the result of the function.
f(g(x)) = f( x - 7 )
f(x) = 3x + 5
We replace all occurrence of x with x-7 and simplify
f( x - 7 ) = 3( x - 7 ) + 5
f( x - 7 ) = 3x - 21 + 5
f( x - 7 ) = 3x - 16
Given the function f(x) and f(g), the composite result function f(g(x)) is 3x - 16.
Learn more about composite function here: brainly.com/question/20379727
#SPJ1
This is what it should look like!
The graph of a function is the same output as the value so the answer is
Answer: 7
1-2x is the answer since 2 times x is twice the number subtracted from 1
Step 1) Draw a dashed line through the points (0,6) and (4,7). These two points are on the line y = (1/4)x+6. To find those points, you plug in x = 0 to get y = 6. Similarly, plug in x = 4 to get y = 7. The dashed line indicates that none of the points on this line are part of the solution set.
Step 2) Draw a dashed line through (0,-1) and (1,1). These two points are on the line y = 2x-1. They are found in a similar fashion as done in step 1.
Step 3) Shade the region that is above both dashed lines. We shade above because of the "greater than" sign. This is shown in the attached image I am providing below. The red shaded region represents all of the possible points that are the solution set. Once again, any point on the dashed line is not in the solution set.