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35. If f(x) = (2 x)/(2 - x) then f ^ - 1 * (x) : (a) (2(x - 1))/(x 1) (b) (2(x 1))/(x - 1) (c) (x 1)/(x - 1) (d) (x - 1)/(x 1)?
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35. If f(x) = (2 x)/(2 - x) then f ^ - 1 * (x) : (a) (2(x - 1))/(x ...
**Solution:**

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

Given function: f(x) = (2x)/(2 - x)

**Interchanging the roles of x and y:**

x = (2y)/(2 - y)

**Solving for y:**

Multiply both sides by (2 - y):

x(2 - y) = 2y

2x - xy = 2y

2x = 2y + xy

2x = y(2 + x)

Divide both sides by (2 + x):

(2x)/(2 + x) = y

**The inverse function is:**

f^(-1)(x) = (2x)/(2 + x)

**Answer: (a) (2(x - 1))/(x + 1)**
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35. If f(x) = (2 x)/(2 - x) then f ^ - 1 * (x) : (a) (2(x - 1))/(x 1) (b) (2(x 1))/(x - 1) (c) (x 1)/(x - 1) (d) (x - 1)/(x 1)?
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35. If f(x) = (2 x)/(2 - x) then f ^ - 1 * (x) : (a) (2(x - 1))/(x 1) (b) (2(x 1))/(x - 1) (c) (x 1)/(x - 1) (d) (x - 1)/(x 1)? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 35. If f(x) = (2 x)/(2 - x) then f ^ - 1 * (x) : (a) (2(x - 1))/(x 1) (b) (2(x 1))/(x - 1) (c) (x 1)/(x - 1) (d) (x - 1)/(x 1)? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 35. If f(x) = (2 x)/(2 - x) then f ^ - 1 * (x) : (a) (2(x - 1))/(x 1) (b) (2(x 1))/(x - 1) (c) (x 1)/(x - 1) (d) (x - 1)/(x 1)?.
Solutions for 35. If f(x) = (2 x)/(2 - x) then f ^ - 1 * (x) : (a) (2(x - 1))/(x 1) (b) (2(x 1))/(x - 1) (c) (x 1)/(x - 1) (d) (x - 1)/(x 1)? in English & in Hindi are available as part of our courses for CA Foundation. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
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