Advertisements
Advertisements
Question
If f(x) = `(3x + 1)/(5x - 4)` and t = `(5 + 3x)/(x - 4)`, then f(t) is ______
Options
`(11x + 10)/(11x + 41)`
`(10x + 11)/(41x + 11)`
`(10x + 11)/(11x + 41)`
`(11x + 41)/(10x + 11)`
MCQ
Fill in the Blanks
Solution
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)`
shaalaa.com
Differentiation
Is there an error in this question or solution?
