Let . For what value of is ?

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Let $f(x) = \dfrac{2-3x}{5-2x}$ . For what value of is ?

Guest Nov 6, 2014

geno3141 · Answer 1 · 2014-11-06T02:48:24

f(x) = [2 - 3x] / [5 - 2x]

f(a) = [2 - 3a] / [5 - 2a] = 3

Multiply both sides by 5 - 2a:

[2 - 3a] = 3[5 - 2a]

2 - 3a = 15 - 6a

Add 6a to both sides:

2 + 3a = 15

3a = 13

a = 13/3