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mihalych1998 [28]
3 years ago
8

What is the inverse of the function below? f(x) = 5x - 2

Mathematics
1 answer:
kupik [55]3 years ago
6 0

Answer:

B. f -1(x) = x + 2 / 5

f^{-1}(x)=\frac{x+2}{5}

Step-by-step explanation:

To find the inverse of a function we need to interchange x and y an solve for y.

Since f(x)=y, then

f(x)=5x-2

y=5x-2

x=5y-2

Add 2 to both sides

x+2=5y-2+2

x+2=5y

Divide both sides by 5

\frac{x+2}{5}=\frac{5y}{5}

\frac{x+2}{5}=y

y=\frac{x+2}{5}

f^{-1}(x)=\frac{x+2}{5}

We can conclude that the correct answer is B. f -1(x) = x + 2 / 5

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