If f(x) = 2x + 3 and g(x) = x2 + 1,find f(g(3)).
Answers
Answer:
The value of f(g(3)) is 23.
Step-by-step explanation:
The given functions are
We have to find the value of f(g(3)).
Substitute x=3 in the function g(x) to find the value of g(3).
[g(3)=10]
Substitute x=10 in the function f(x) to find the value of f(10).
Therefore the value of f(g(3)) is 23.
f(g(3))=f(3²+1)=f(10)=2*10+3=23
===========================
Related Questions
Caleb's mother said they will drive 1 /4 hour to get there, and they will drive another 1 /4 hour back. Once they arrive, Caleb's brother will be playing in 3 soccer games. Each soccer game takes 3 4 hour, and there is no break in between games. Calculate how long will they be away from home.
Use a net to find the surface area of the right triangular prism shown below: Three rectangles next to each other with a width of 7 feet. The first and second rectangles length are unknown, and the last is 10 feet long. There are two right triangles above and below the last rectangle. One is labeled with a base of 6 feet and a height of 8 feet.
What is defination of tangent
Solve the equation for x.3(6x - 1) = 12
Answers
B. 4x + 1 = 4x - 1
In this equation, when you simplify it, you'll find that it states 1 = 1, which is always true. This means there are infinitely many solutions because any value of x would make the equation true.
y = –3x + 11
A.(6, -3)
B.(6, -7)
C.(-4, 19/2)
D.(5, -4)
Answers
They have given you y: -3x+11.
They have also given you an equation for you to substitute y into: 3x+2y=7.
Now, you can create the substituted problem.
3x + 2(-3x + 11 ) = 7
Use distributive property.
3x + -6x + 22 = 7
Add like terms.
-3x + 22 = 7
Subtract 22 from 7.
-3x = -15
Divide.
x = 5.
Now, that you have x, plug "5" back into the original equations or at least one of them to find your y.
I will do both to show you.
3(5) + 2y = 7
15 + 2y = 7
2y = -8
y = -4
You would get -4 with the other equation, too.
y = -3(5) + 11
y = -15 + 11
y = -4
Now, since you have x= 5, y= -4, that would be equivalent to (5, -4) which would be answer choice D.
*side note* because only one of the answer choices started with x being equivalent to y, you wouldn't need to go through finding y as the only possible answer choice could be D. However, it is always good to check and make sure you didn't do anything wrong with x by finding y. Also, I have done y for you not only in my benefit, but to show you what you would do if D wasn't so obvious when you only find x.
Answers
so how many times can 3 go into 41 (13 times)
3 x 13 = 39
41 -39 = 2
13 2/3
Hope this helped!
Answers
f(x)=x
f(x) is also known as y
x is 3, which means the x value on the right is 3
Answer: f(3)=3
Answers
3√7= 7.95
add them together equals 11.41
hope this helped!!!
Answers
32%*x = 56
32/100 *x = 56
x = 56*100/32
x = 5600/32 = 175
hence, 32% of 175 is 56.