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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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Answer: At most 9  attendees can be there.

Step-by-step explanation:

Given equation:<em> d = 8a</em> , where <em>a</em> represents the number of attendees, and the variable <em>d </em>represents the cost in dollars.

To find : the number of attendees, if Will budgets a total of $72 for his graduation picnic.

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4 0
2 years ago
Solve for the value of z: 90/15 = 6/z
lara31 [8.8K]

Answer:

z = 1

Step-by-step explanation:

90/15 = 6/z

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90 = 90z

Divide both sides of the equation by 90

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Hope this was useful to you!

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2 years ago
Marlo buys 6 feet of ribbon to make bracelets. She needs 18 inches of ribbon to make 1 bracelet. How many bracelets can Marlo ma
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Answer:

4

Step-by-step explanation:

So, 6 feet is equal to 72 inches. You need 18 inches for one bracelet, so by dividing 72/18, you get 4. So, he can make 4 bracelets.

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Please help I'll mark brainliest ​
posledela

Answer:

The final answer is 16.

Gd luck with your work! :)

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