Question

If f(x) = `(3x + 1)/(5x - 4)` and t = `(5 + 3x)/(x - 4)`, then f(t) is ______ 

विकल्प

• `(11x + 10)/(11x + 41)`

• `(10x + 11)/(41x + 11)`

• `(10x + 11)/(11x + 41)`

• `(11x + 41)/(10x + 11)`

Answer 1

If f(x) = `(3x + 1)/(5x - 4)` and t = `(5 + 3x)/(x - 4)`, then f(t) is `underline((10x + 11)/(11x + 41))`.

Explanation:

f(x) = `(3x + 1)/(5x - 4)` 

∴ f(t) = `(3t + 1)/(5t - 4) = (3((5 + 3x)/(x - 4)) + 1)/(5((5 + 3x)/(x - 4))- 4) = (10x + 11)/(11x + 41)`