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Anna007 [38]
3 years ago
13

Find fog(x) when f(x) = 2x² + x and g(x) = 3x + 2

Mathematics
1 answer:
nekit [7.7K]3 years ago
6 0
For fog or f(g(x)), plug g(x) into f(x):

2(3x+2)²+x

Then simplify:

2( (3x+2)(3x+2) )+x

2( 9x²+12x+4 )+x

18x²+24x+8 +x

18x²+25x+8

Then you can simplify this further using factoring methods to:

(2x+1)(9x+8)

Hope this helps!! :)

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Let f and g be functions. (a) The function (f + g)(x) is defined for all values of x that are in the domain(s) of ____________.
krok68 [10]

Answer:

a) for all values of x that are in the domains of f and g.

b) for all values of x that are in the domains of f and g.

c) for all values of x that are in the domains of f and g with g(x)≠0

Step-by-step explanation:

a) By definition (f+g)(x)=f(x)+g(x). Then x must be in the domain of f and g.

b) By definition (fg)(x)=f(x)g(x).  Then x must be in the domain of f and g.

c) By definition (f/g)(x)=f(x)/g(x).  Then x must be in the domain of f and g and g(x) must be different of 0.

5 0
3 years ago
Percent of decrease of 120 to 52
levacccp [35]
Percent decrease=(decrease)/(original) converted to percent

change=120 to 52
120-52=68
change or decrease=68
original=120
68/120=0.5666666=56.6666%
about 57%
5 0
3 years ago
To get to his parent's house, Isaiah would have to drive due north 9 kilometers. To get to his grandparents' house, he would hav
DaniilM [7]

let us represent the question with a diagram for better understanding.

Using Pythagoras theorem

\begin{gathered} c^2=12^2+9^2 \\ c^2=144+81 \\ c=\sqrt[\square]{225} \\ c=15\text{ km} \end{gathered}

The distance between the parents and grandparent house = 15 km

6 0
1 year ago
NEED HELP ASAP PLEASE IM TRYNA PASS
V125BC [204]

Answer:

segment SV

Step-by-step explanation:

Observing the figure

we know that

The side that is common to triangle SUV and triangle VTS is only the segment SV

There are no common angles to triangle SUV and triangle VTS

therefore

The answer is the segment SV

3 0
4 years ago
Bess and Gina earn $45 per week for delivering flowers. Bess worked for x weeks and earned an additional total bonus of $20. Gin
iogann1982 [59]

Answer:

45x+20+45y

Step-by-step explanation:

Let

x -----> the number of weeks worked by Bess

y ----> the number of weeks worked by Gina

we know that

The total money earned by Bess and Gina for delivering flowers, is equal to the sum of the number of weeks  worked by Bess and Gina. all multiplied by the weekly rate of $45 plus an additional total bonus of $20

so

The expression that represent this situation is

45(x+y)+20

Distribute

45x+45y+20

Rewrite

45x+20+45y

8 0
3 years ago
Read 2 more answers
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