7) $$ \begin{array}{l} g(a)=2 a+3 \ h(a)=a-1 \ \text { Find } g(a)-h(a) \end{array} $$

Question

UpStudy AI · Accepted Answer

To find $g(a)-h(a)$, we need to subtract the function $h(a)$ from the function $g(a)$.

First, let's find $g(a)$:
$$
g(a) = 2a + 3
$$

Next, let's find $h(a)$:
$$
h(a) = a - 1
$$

Now, subtract $h(a)$ from $g(a)$:
$$
g(a) - h(a) = (2a + 3) - (a - 1)
$$

To simplify this expression, we distribute the negative sign to both terms inside the parentheses:
$$
g(a) - h(a) = 2a + 3 - a + 1
$$

Combining like terms, we have:
$$
g(a) - h(a) = (2a - a) + (3 + 1)
$$

Simplifying further, we get:
$$
g(a) - h(a) = a + 4
$$

Therefore, $g(a) - h(a) = a + 4$.The expression $g(a) - h(a)$ simplifies to $a + 4$.

7) \[ \begin{array}{l} g(a)=2 a+3 \\ h(a)=a-1 \\ \text { Find } g(a)-h(a) \end{array} \]