Question

If m(y) = 12 + 3 and nl) = 5% +9, which expression is equivalent to (n))?

5x + y2 + 15% - 27
2542 - 90% - 84
745x + 12
587 +24

Answer 1

Option (2)

Explanation:

Two functions have been given as,

m(x) = x² + 3

n(x) = 5x + 9

And we have to find the value of (mn)(x).

Since, (mn)(x) = m[n(x)]

Therefore, m[n(x)] = (5x + 9)² + 3

= 25x² + 90x + 81 + 3

= 25x² + 90x + 84

This expression matches with the expression given in option (2).

Therefore, Option (2) will be the answer.