Given s (x) = 2x - 3 and t (x) = 5x + 4. Find the formula and domain for v (x) = s (x) / t (x) and w (x) = t (x) / s (x)

Question

Lester

Mathematics

22 May, 01:21

Given s (x) = 2x - 3 and t (x) = 5x + 4. Find the formula and domain for v (x) = s (x) / t (x) and w (x) = t (x) / s (x)

+3

Answers (1)

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Esteban Marshall · Answer 1

V (x) = (2x - 3) / (5x + 4)

The domain is all Real numbers except x = - 4/5, because if x = - 4/5 the denominator would be zero and you cannot divide by zero.

x ∈ R, x ≠ - 4/5

w (x) = (5x + 4) / (2x - 3)

similarly, x ≠ 3/2

so, x ∈ R, x ≠ 3/2