All categories

2 years ago

If f(x) = 4x + 8 and g(x) = (x+4, what is (fºg)(12)?

Mathematics

1 answer:

svetlana [45]2 years ago

4 0

Answer:

Step-by-step explanation:

$f(x) = 4x+8\\g(x) = x + 4\\\\1. f(g(x)) = 4(x+4) + 8\\2. f(g(x)) = 4x + 16 + 8\\3. f(g(x))=4x + 24\\\\4. f(g(12)) = 4(12) + 24\\5. f(g(12)) = 48 + 24 = 72\\$

To do these, you have to place the entire function inside the parent function's variables.

You are inputting the value of the function g(x) into f(x)

You might be interested in

sarah works at a clothing store. Her weekly salary is $250 plus%4 commision on her sales.Last week she sold $ 2,500 worth of clo

creativ13 [48]

Answer:

80,000

Step-by-step explanation:

I hope this helps:)

3 0

2 years ago

A 110 point final exam is made up of 50 question some questions are worth 4 points. How many of each type of question are on the

velikii [3]

There were 5 four point questions and There were 45 two point questions

4 0

2 years ago

What is the common ratio for the geometric sequence?<br><br> 18, 12, 8, 16/3,…

alex41 [277]

Answer:

2/3

Step-by-step explanation:

Given : A geometric sequence : 18, 12, 8, 16/3,…

Solution :

Each term is found by multiplying the previous term by a constant in a Geometric Sequence .

In a Geometric Sequence common ratio is denoted by r

$r = \frac{a_{n} }{a_{n-1} }$

for n = 2

$r = \frac{a_{2} }{a_{1} }$

⇒ $r = \frac{12 }{18 }$

⇒ $r = \frac{2 }{3 }$

for n = 3

$r = \frac{a_{3} }{a_{2} }$

⇒ $r = \frac{8 }{12 }$

⇒ $r = \frac{4 }{6 }$

⇒ $r = \frac{2}{3 }$

Thus the common ratio 'r' = 2/3

6 0

3 years ago

Read 2 more answers

What is the value of X?

AfilCa [17]

Answer:

the answer to x is 111

Step-by-step explanation:

A+B=X

Since its extended you add the two legs together

Hope this helps!

3 0

2 years ago

Read 2 more answers

A=5x+20 B=9x-92 Solve for x and then find the measure of A

Leviafan [203]

Because of the transversal and the parallel lines, we know that A+B=180°.

So:
5x + 20 + 9x - 92 = 180
14x - 72 = 180
14x = 180 + 72
14x = 252
x = 252/14
x = 18

A = 5x + 20
A = 5*18 + 20
A = 90 + 20 = 110

(Let’s check:
B = 9*18 - 92
B = 162 - 92
B = 70
70 + 110 = 180)

8 0

2 years ago