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marissa [1.9K]
4 years ago
12

What is the answer to 3(2x+5)=3x+4x

Mathematics
1 answer:
andreyandreev [35.5K]4 years ago
6 0

6x+15=3x+4x

6x+15=7x

15=7x-6x

15=1x

x=15/1

x=15

3(30+5)=45+60

3(30+5)=105

45+60=105

so x=15

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!!!!!!!!!!!!!!!!!!!!
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Answer:

f^{-1}(x)=4x+20

Step-by-step explanation:

<u>Given</u>

<u />f(x)=\frac{x}{4}-5\\ \\y=\frac{x}{4}-5

<u>Swap x and y and solve for y</u>

<u />y=\frac{x}{4}-5\\ \\x=\frac{y}{4}-5\\ \\x+5=\frac{y}{4}\\ \\4(x+5)=y\\\\y=4x+20

<u>Final answer</u>

<u />f^{-1}(x)=4x+20

Keep in mind that we need to swap the variables because a function and its inverse are symmetrical about the line y=x. See the graph below.

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