Answer: M. [tex]\displaystyle {3x^{3/4}[/tex]
Step-by-step explanation:
This is a composite function, so we will divide f(x) by g(x) as it says.
Given:
[tex]\displaystyle f(x)=9x^{5/4},\;g(x)=3x^{1/2}[/tex]
Substitute:
[tex]\displaystyle \frac{9x^{5/4}}{3x^{1/2}}[/tex]
Divide:
➜ When you divide exponents with the same base, subtract the exponents.
[tex]\displaystyle {3x^{3/4}[/tex]
The answer is M, [tex]\displaystyle {3x^{3/4}[/tex].
You say that number 10 is M, which is incorrect. It should be N. Here is why.
This composite function tells us to multiply them together.
Given:
[tex]\displaystyle f(x) =2x^3,\; g(x) = 4^{5/4}[/tex]
Substitute:
[tex]\displaystyle (2x^3)(4^{5/4})[/tex]
Multiply:
➜ When you multiply exponents with the same base, add the exponents together.
N. [tex]\displaystyle {8x^{17/4}[/tex]
