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Serggg [28]
3 years ago
8

Find the equation of the inverse. f(x)=3x-4 Please show work

Mathematics
2 answers:
umka2103 [35]3 years ago
4 0

Answer:

f^{-1}(x) = \frac{x+4}{3}.

Step-by-step explanation:

Given : f(x)=3x-4

To find : Find the equation of the inverse.

Solution : We have given that

f(x) = 3x - 4

Step 1:

We can write f(x) as y:

y = 3x - 4

Step 2:

Interchange x with y :x = 3y - 4

Step 3:

Now solve for y:

x +4 = 3y

On dividing by 3 both sides and swtiching the sides

y = \frac{x+4}{3}

Here y is the inverse function of f(x)

Therefore, y = f^{-1}(x) = \frac{x+4}{3}.

Zepler [3.9K]3 years ago
3 0
Ans: The equation of inverse = \frac{x+4}{3}
<span>
Explanation:
Given function:
f(x) = 3x - 4

Step 1:
We can write f(x) as y:
y = 3x - 4

Step 2:
Interchange x with y and vice versa:
x = 3y - 4

Step 3:
Now solve for y:
x +4 = 3y
y = </span>\frac{x+4}{3}<span> (Equation of Inverse)
</span>
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