Math Snap

STEP 1

Assumptions1. We are given two functions $k(x)=9x-5$ and $m(x)=x^{}$.
. We need to find the composition of these functions, denoted as $(k \circ m)(x)$.

STEP 2

The composition of functions is defined as the application of one function to the result of another. Mathematically, it can be represented as follows$$(k \circ m)(x) = k(m(x))$$

STEP 3

We know that $m(x) = x^{2}$. So, we need to substitute $m(x)$ into the function $k(x)$.
$$k(m(x)) = k(x^{2})$$

STEP 4

Now, substitute $x^{2}$ into $k(x)$ in place of $x$.
$$k(x^{2}) =9(x^{2}) -$$

implify the expression to find the result of $(k \circ m)(x)$.
$$(k \circ m)(x) =9x^{2} -5$$So, $(k \circ m)(x) =9x^{2} -5$.