1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
goblinko [34]
3 years ago
12

Given that f(x)= x2+3 and g(x)= x+4/3 solve for (f(g(x)) when x =2

Mathematics
1 answer:
Savatey [412]3 years ago
7 0
\bf \begin{cases}
f(x)=x^2+3\\\\
g(x)=x+\cfrac{4}{3}
\end{cases}
\\\\\\
\boxed{x=2}\qquad g(2)=(2)+\cfrac{4}{3}\implies \boxed{g(2)=\cfrac{10}{3}}
\\\\\\
f(~~g(x)~~)=[g(x)]^2+3\implies f(~~g(2)~~)=[g(2)]^2+3
\\\\\\
f(~~g(2)~~)=\left[ \boxed{\frac{10}{3}} \right]^2+3\implies f(~~g(2)~~)=\cfrac{10^2}{3^2}+3
\\\\\\
f(~~g(2)~~)=\cfrac{100}{9}+3\implies f(~~g(2)~~)=\cfrac{100+27}{9}
\\\\\\
f(~~g(2)~~)=\cfrac{127}{9}
You might be interested in
8x-6+2x=44 what does x equal
klio [65]

Answer:

x=5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

7 0
3 years ago
Read 2 more answers
Ratio..A candy store sells snacks by weight. A six ounce bag of candy cost $3.60. Predict the cost of a 2ounce bag.
KIM [24]

Answer:

A 2 ounce bag costs $1.2.

Step-by-step explanation:

With the information provided, you can use a role of three to find the cost of a 2 ounce bag given that you know that a six ounce bag costs $3.60.

6 ounce bag → 3.60

2 ounce bag →   x

x=(2*3.60)/6

x=7.20/6

x=1.2

According to this, the answer is that a 2 ounce bag costs $1.2.

7 0
3 years ago
Read the problem in the box below. Make a list to help you find the correct
Taya2010 [7]

Answer:

C. WP WB, WC, PB, PC, BC

Step-by-step explanation:

<em>List the possible combinations. (With no duplicates)</em>

WP, WB, WC

PB, PC

BC

<em>Now check your options for the answer with the combinations you had.</em>

<em>That is your answer.</em>

8 0
3 years ago
Three more than the quotient of a number and 6 is 8.
meriva

Answer:

x/6 + 3 = 8

x/6 = 5

x = 30

Step-by-step explanation:

6 0
3 years ago
Draw a set of collinear points R,S and T
Nadusha1986 [10]
When they are collinear, they lie on the same straight line

6 0
3 years ago
Other questions:
  • Find the length of the side of an equilateral triangle whose area is 9√3 cm2
    5·1 answer
  • 4(1-3x)-14&gt;4(2x+3)-9x
    10·1 answer
  • Can someone please help me out with these 2 problem thanks
    12·1 answer
  • An underwater canyon begins at 40 feet
    5·1 answer
  • Solve 7+x÷3=2x-5 pls help me with this
    13·2 answers
  • . How many pieces measuring 3/20 meters can be cut from a ribbon whose length is 0.75 meter
    12·1 answer
  • a 2-liter bottle is filled completely with water from a faucet in 10 seconds. how much water is filled in to the bottles each se
    10·1 answer
  • 3 (2 d - 1) -2 D = 4 (d - 2) + 5
    13·1 answer
  • A whole pie is cut into 8 equal slices. Three of the pie is left
    15·1 answer
  • Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!