f(x)=6x+4. Find the inverse of f(x).

Answer:

c

Step-by-step explanation:

f(x)=6x+4

y=6x+4

x=6y+4

6y=x-4

y=(x-4)/6

f^-1(x)=(x-4)/6

Answer is Option-C

How to find Inverse Function:

1. First, replace f(x) with y. This is done to make the rest of the process easier.

2. Replace every x with a y and replace every y with an x.

3. Solve the equation from Step 2 for y.

(Here), Given

f(x) = 6x + 4

Let's inverse function be y.

y = 6x + 4

First step is to switch the positions of x and y.

Inverse: x = 6y + 4

x - 4 = 6y

=> y = (1/6) * (x - 4)

Option-C

Learn more about Inverse functions here:

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The name of the ship was the Billy of Tea
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O blow, my bully boys, blow

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

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When down on her a right whale bore
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To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

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The whale's tail came up and caught her
All hands to the side, harpooned and fought her
When she dived down low

Soon may the Wellerman come
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One day, when the tonguin' is done
We'll take our leave and go

No line was cut, no whale was freed
The Captain's mind was not of greed
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One day, when the tonguin' is done
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All boats were lost, there were only four
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One day, when the tonguin' is done
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