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sashaice [31]
4 years ago
8

Which function below is the inverse of f(x)= 3x+5/7

Mathematics
1 answer:
valkas [14]4 years ago
5 0

Answer:

\huge\boxed{f^{-1}(x) = \frac{7x-5}{3}}

Step-by-step explanation:

Given the function:

f(x) = \frac{3x+5}{7}

Put f(x) = y

y = \frac{3x+5}{7}

Interchange x and y

x = \frac{3y+5}{7}

Solve for y

x = \frac{3y+5}{7}

Multiplying both sides by 7

7x = 3y+5

Subtracting y to both sides

7x-5 = 3y

Dividing both sides by 3

\frac{7x-5}{3} = y

<u>OR</u>

y = \frac{7x-5}{3}

Put y = f^{-1}(x)

So,

f^{-1}(x) = \frac{7x-5}{3}

Hope this helped!

<h2>~AnonymousHelper1807</h2>
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