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Savatey [412]
3 years ago
6

If f (x)= x-3 and g (x)= 2x-4, find (f+g)(x)

Mathematics
1 answer:
const2013 [10]3 years ago
5 0

(f∘g)(x) is equivalent to f(g(x)). We solve this problem just as we solve f(x). But since it asks us to find out f(g(x)), in f(x), each time we encounter x, we replace it with g(x).

In the above problem, f(x)=x+3.

Therefore, f(g(x))=g(x)+3.

⇒(f∘g)(x)=2x−7+3

⇒(f∘g)(x)=2x−4

Basically, write the g(x) equation where you see the x in the f(x) equation.

f∘g(x)=(g(x))+3 Replace g(x) with the equation

f∘g(x)=(2x−7)+3

f∘g(x)=2x−7+3 we just took away the parentheses

f∘g(x)=2x−4 Because the −7+3=4

This is it

g∘f(x) would be the other way around

g∘f(x)=2(x+3)−7

now you have to multiply what is inside parentheses by 2 because thats whats directly in front of them.

g∘f(x)=2x+6−7

Next, +6−7=−1

g∘f(x)=2x−1

Its a lts easier than you think!

Hope this helped

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omeli [17]

Answer:

  • x = - 6

Step-by-step explanation:

A hole is an input value that makes both numerator and denominator equal to zero.

<u>Let's factorize the numerator and denominator:</u>

  • 3x² - 108 = 3(x² - 36) = 3(x + 6)(x - 6)
  • x² + 2x - 24 = x² + 6x - 4x - 24 = x(x + 6) - 4(x + 6) = (x - 4)(x + 6)

<u>We have same factor of x + 6:</u>

  • x + 6 = 0
  • x = - 6 is a hole
8 0
2 years ago
Whats 8 times 3 divided by 12
SOVA2 [1]

Answer:

2

Step-by-step explanation:

<u>Step 1:  Convert words into numbers </u>

(8 * 3) / 12

<u>Step 2:  Multiply </u>

(8 * 3) / 12

24 / 12

<u>Step 3:  Divide </u>

24/12

2

Answer:  2

7 0
2 years ago
Read 2 more answers
I need Help plz...!!!!
kirill [66]

Answer:

B.21.3 is the correct answer

Step-by-step explanation:

1/2*x+1/4*x=16

x/2+x/4=16

2x+x/4=16

3x/4=16

3x=16*4

3x=64

x=21.3

Hope it is helpful for you

if it is follow me and

mark me as a brainest

6 0
2 years ago
Read 2 more answers
Before she rides her bike, Saima warms up for 12 minutes. On Tuesday, Saima rode her bike for 52 miles. If it takes Saima 6 minu
kodGreya [7K]

Answer:

324 minutes or 5 hours 24 minutes

Step-by-step explanation:

On Tuesday, Saima rode her bike for 52 miles. If it takes Saima 6 minutes to ride each mile, then it takes her

52\cdot 6=312

minutes to ride all 52 miles.

Before she rides her bike, Saima warms up for 12 minutes.

Therefore, it takes Saima

12+312=324

minutes to warm up and ride her bike on Tuesday.

7 0
3 years ago
How does the speed of one car relative to the other compare with speed of the car relative to the ground?
yulyashka [42]
(n-1)-3 = (3n)/2 This is the equation used to represent the information given
8 0
3 years ago
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