Question

Given a function f(x) = m/x-1 + n, where f(-2) = 1 and f(4) = 3. Find the values of m and n​

Answer 1

We get the values of m as 1 and n as 0.

We are given a function:

f(x) = m / (x - 1) + n

We are also given that:

f (-2) = 1 and f (4) = 3

We have to find the value of m and n.

f (-2) = m (2 - 1) + n

1 = m + n

n = 1 - m

f (4) = m / (4 - 1) + n

3 = 3 m + n

3 = 3 m + 1 - m

3 = 2 m + 1

2 m = 3 - 1

2 m = 2

m = 2 / 2

m = 1

m + n = 1

1 + n = 1

n = 0.

Therefore, we get the values of m as 1 and n as 0.

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