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Mariana [72]
3 years ago
7

What is the reciprocal of the sum of a half, a third, and a fourth?

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
3 0

Answer

12/13

Step-by-step explanation:

1/2+1/3+1/4=?

6/12+4/12+3/12=?

13/12

Reciprocal is 12/13

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3 years ago
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If f (x)= x-3 and g (x)= 2x-4, find (f+g)(x)
const2013 [10]

(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

5 0
4 years ago
How do i get y alone when 3(–1)+5y=17
tekilochka [14]
3(-1) + 5y = 17
add 3 to both sides
5y=20
divide by 5
y=4

7 0
3 years ago
Read 2 more answers
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