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Firdavs [7]
3 years ago
11

For f(x)= x+5 and g(x)=4x+2 find (fog)(x) And (gof)(x)

Mathematics
1 answer:
Svetllana [295]3 years ago
7 0

Composing functions means that the input of the outer functions is the output of the inner function.

In fact, you can rewrite the circle notation as

(f\circ g)(x)=f(g(x)),\quad (g\circ f)(x)=g(f(x))

So, we can substitute g(x) with its expression:

(f\circ g)(x)=f(g(x))=f(4x+2)

And since f(x)=x+5, we simply have to add 5 to its input:

f(4x+2)=(4x+2)+5=4x+7

Similarly, we have, substituting f with its expression,

(g\circ f)(x)=g(f(x))=g(x+5)

And since g(x)=4x+2, we have to multiply the input by 4 and add 2:

g(x+5)=4(x+5)+2=4x+20+2=4x+22

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Peach paint is 1 part yellow to 3 parts
katrin2010 [14]

Answer:

8/3

Step-by-step explanation:

3 parts yellow to 2 parts red

4 parts yellow to x parts red

x=4*2/3 =8/3 parts red.

If it is right then there you go

8 0
2 years ago
Hii can someone help with this pls :)
BlackZzzverrR [31]

Answer:

R(x,y) = (0.8,-1.2)

Step-by-step explanation:

The coordinates of QS are:

Q(x_1,y_1) = (-2,-6)

S(x_2,y_2) = (5,6)

The ratio is represented as:

R_{m:n} = 2:3

Required

Find the coordinates of R

The coordinates of R is calculated by:

R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})

Substitute values for m, n, x's and y's

R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})

R(x,y) = (\frac{4}{5},\frac{-6}{5})

R(x,y) = (0.8,-1.2)

<em>None of the options is correct</em>

6 0
2 years ago
Log 3x^2y fully expanded
Leya [2.2K]

Answer:

6xy

Step-by-step explanation:

5 0
3 years ago
Jeremy is conducting a survey about his coworkers’ in-office water consumption to encourage management to install more water dis
Katarina [22]

Answer:what was the answer ?

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas. What is the
Lera25 [3.4K]

Given:

The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas.

To find:

The constant of proportionality

Solution:

We have,

P=0.25n       ...(i)

where P is the price and n is the number of bananas.

Price P is directly proportional to the number of bananas. So,

P\propto n

P=kn            ...(ii)

Where, k is the constant of proportionality.

On comparing (i) and (ii), we get

k=0.25

Therefore, the constant of proportionality is 0.25.

8 0
3 years ago
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