The value of the composition of functions f(g(3)) is given by (A) -1.
Here given that the functions are,
f(x) = 3x-7
g(x) = (x+1)/(x-1)
To find the value of g(3) we have to first substitute the value x = 3 in the given function g(x), doing that we get,
g(3) = (3+1)/(3-1) = 4/2 =2
Thus the value of g(3) = 2
Now in order to find the value of composition of functions f(g(3)) we have to substitute the value of x = g(3) = 2 in the given function f(x), doing that we get,
f(g(3)) = f(x = g(3)) = f(x = 2) = f(2) = 3*2-7 = 6-7 = -1
Thus the value of the required composition of functions f(g(3)) is given by -1.
Hence the correct option is given by (A).
<em>The question is incomplete. Find the full content below. </em>
Consider these functions:
f(x) = 3x-7
g(x) = (x+1)/(x-1)
What the value of f(g(3))?
(A) -1
(B) 0
(C) 3
(D) 5
Learn more about Composition of Functions here -
brainly.com/question/17299449
#SPJ10
Answer:
Slope = 4/1
Step-by-step explanation:
The slope of a line is the rise/run.
The rise of the slope shown in the picture is 4 accordingly to the run at 1.
<h3>
Answer: x^2+9x+8</h3>
==============================================================
Explanation:
With many math problems, a good strategy is to break things down into smaller pieces. In this case, we need to find the area of each individual smaller rectangle
A = blue rectangle area = length*width = x*x = x^2
B = purple rectangle area = length*width = x*1 = x
C = green rectangle area = length*width = 8*x = 8x
D = orange rectangle area = length*width = 1*8 = 8
Add up A through D to get the overall area of the entire or largest rectangle possible
total area = A+B+C+D = x^2+x+8x+8 = x^2+9x+8
notice how x+8x turns into 9x. You can think of it as 1x+8x = (1+8)x = 9x
This is because x and 8x are like terms which can be combined. Everything else is left as is.
Because we don't know what number goes in place for x, we cannot simplify or evaluate x^2+9x+8 any further.
Answer He needs to wait to get his allowance twice.
Step-by-step explanation:
The average price of a game is around 45$. If Carlos gets 25$ a week its only 2 weeks to get a game. in other words: 2x25: 45
Answer:
it has 2
Step-by-step explanation:
2
