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weeeeeb [17]
3 years ago
5

Prove that f(x)=2x+4 and g(x)=x-4/2 are inverses of each other. SHOW YOUR WORK.

Mathematics
1 answer:
Nikitich [7]3 years ago
3 0
If f(x) is the inverse of g(x), then f(g(x))=f(g(x))=x
or we can do it the hard way and solve for the inverses (I'm too lazy to do that)

I'm assuming you means g(x)=(x-4)/2

so
show that f(g(x))=g(f(x))=x
first do f(g(x))

f(g(x))=2((x-4)/2)+4
f(g(x))=x-4+4
f(g(x))=x

g(f(x))=(2x+4-4)/2
g(f(x))=(2x)/2
g(f(x))=x

both equal x and x=x so f(g(x))=f(g(x))=x

they are iinverses
if you did want to solve then
do, f(x)=y, then swtich all x and y then solve for x
example
f(x)=2x+4 then y=2x+4 then x=2y+4 then x-4=2y then (x-4)/2=y=g(x)
then reverse it to get the other inverse thing
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5x-4(-3x+5)=-3

5x+12x-20=-3

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This recipe makes a cake big enough to serve 4 people.
nignag [31]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
Someone please help me !
Leni [432]

Answer:

Can't tell if it went through...

1. Shop A = 2x

2. Shop B = 2x - 580

3. Total = Shop A + Shop B

1949 = 2x + 2x - 580

4. Combine like terms

2x + 2x = 4x

1949 = 4x - 580

5. Add 580 to both sides (to remove -580 from right side)

1949 + 580 = 4x - 580 + 580

2529 = 4x

6. Divide both sides by 4 (to get x)

2529 / 4 = 4x / 4

632.25 = x

7. Shop A = 2x

2 * 632.25 = 1264.50

Shop A = 1264.50

8. Shop B = 2x - 580

2 * 632.25 - 580 = 684.50

Shop B = 684.50

Check: Shop A + Shop B = 1949

1264.50 + 684.50 = 1949

Shop A = 1264.50

Shop B = 684.50

Step-by-step explanation:

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