Let g(t)=(t+2)(t-3) and h(t)=(t-3). Find ((h)/(g))(t)

Write Functions: First, let's write down the functions g(t) and h(t) that are given. g(t) = (t+2)(t-3) h(t) = (t-3)Find (h/g)(t): Now, we need to find the expression for (h/g)(t), which means we will divide h(t) by g(t). ((h)/(g))(t) = h(t) / g(t)Substitute Expressions: Substitute the expressions for h(t) and g(t) into the equation. ((h)/(g))(t) = (t-3) / ((t+2)(t-3))Simplify Expression: We can see that (t-3) is a common factor in both the numerator and the denominator, so we can simplify the expression by canceling out (t-3). ((h)/(g))(t) = 1 / (t+2)Final Answer: The simplified expression for ((h)/(g))(t) is now 1 / (t+2), which is the final answer.

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Let
g(t)=(t+2)(t-3) and
h(t)=(t-3). Find
((h)/(g))(t)

Let $g(t)=(t+2)(t-3)$ and $h(t)=(t-3)$ . Find $\left(\frac{h}{g}\right)(t)$

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Q. Let

g(t)=(t+2)(t-3)

and

h(t)=(t-3)

. Find

\left(\frac{h}{g}\right)(t)

Write Functions: First, let's write down the functions $g(t)$ and $h(t)$ that are given. $\newline$ $g(t) = (t+2)(t-3)$ $\newline$ $h(t) = (t-3)$
Find $(h/g)(t)$ : Now, we need to find the expression for $(h/g)(t)$ , which means we will divide $h(t)$ by $g(t)$ . $\left(\frac{h}{g}\right)(t) = \frac{h(t)}{g(t)}$
Substitute Expressions: Substitute the expressions for $h(t)$ and $g(t)$ into the equation. $\left(\frac{h}{g}\right)(t) = \frac{t-3}{(t+2)(t-3)}$
Simplify Expression: We can see that $(t-3)$ is a common factor in both the numerator and the denominator, so we can simplify the expression by canceling out $(t-3)$ . $\newline$ $\left(\frac{h}{g}\right)(t) = \frac{1}{(t+2)}$
Final Answer: The simplified expression for $\frac{h}{g}(t)$ is now $\frac{1}{t+2}$ , which is the final answer.