Question

If m(x) = x2 3 and n(x) = 5x 9, which expression is equivalent to (mn)(x)? 5x3 9x2 15x 27 25x2 90x 84 x2 5x 12 5x2 24

Answer 1

The expression that is equivalent to m(n(x)) is $25x^{2} +90x+84$.

It is given that

$m(x) = x^{2} +3\\n(x) = 5x+9$

If there are two functions f(x) and g(x), how f g(x) will be calculated?

If there are two functions f(x) and g(x), f(g(x)) will be obtained by replacing x by g(x) into f(x).

So, $m (n(x))= (5x+9)^2+ 3$

$m (n(x))= 25x^{2} +81+90x +3$

$m (n(x))= 25x^{2} +90x+84$

Therefore, the expression that is equivalent to m(n(x)) is $25x^{2} +90x+84$.

To get more about functions visit:

https://brainly.com/question/26613452

Answer 2

Answer:

b

Step-by-step explanation: