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Lera25 [3.4K]
3 years ago
5

4. What is the inverse of f(x) = 4x + 11?

Mathematics
2 answers:
Tasya [4]3 years ago
6 0

The inverse of the function is f^{-1}(x)=\frac{x-11}{4}

Explanation:

The given function is f(x)=4x+11

We need to determine the inverse of the function.

<u>Inverse of the function:</u>

The inverse of the function can be determined by interchanging the variables x and y and then solving the function for the variable y.

Here, the function f(X) is y.

Thus, the function becomes y=4x+11

Interchanging the variables, we get;

x=4y+11

Now, we shall solve the expression for the variable y.

Thus, we have,

x-11=4y

 \frac{x-11}{4}=y

Thus, the inverse of the function is f^{-1}(x)=\frac{x-11}{4}

VikaD [51]3 years ago
4 0

Answer:

The answer is b.

Step-by-step explanation:

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