Questions: Question 25 of 60 (1 point) I Question Attempt: 3 of Unlimited Connor ✓ 14 15 16 18 19 20 21 22 23 ✓ 24 Español 25 Given the functions: f(x)=2x. g(x)=x-7 h(x)=1/(x-3) Evaluate the function (f ⋅ g)(2) for the given value of x. Write your answer as an integer or simplified fraction. Select "Undefined" if applicable. (f ⋅ g)(2) is □ . Undefined

$Question 25 of 60 (1 point) I Question Attempt: 3 of Unlimited Connor ✓ 14 15 16 18 19 20 21 22 23 ✓ 24 Español 25 Given the functions: f(x)=2x. g(x)=x-7 h(x)=1/(x-3) Evaluate the function (f ⋅ g)(2) for the given value of x. Write your answer as an integer or simplified fraction. Select "Undefined" if applicable. (f ⋅ g)(2) is □ . Undefined$

Transcript text: Question 25 of 60 (1 point) I Question Attempt: 3 of Unlimited Connor $\checkmark 14$ 15 16 18 19 20 21 22 23 $\checkmark 24$ Español 25 Given the functions: \[ f(x)=2 x . \quad g(x)=|x-7| \quad h(x)=\frac{1}{x-3} \] Evaluate the function $(f \cdot g)(2)$ for the given value of $x$. Write your answer as an integer or simplified fraction. Select "Undefined" if applicable. $(f \cdot g)(2)$ is $\square$ . Undefined Check Save For Later Submit Assignment (๑ 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility

Solution

Solution Steps

To evaluate $(f \cdot g)(2)$, we need to find the value of the product of the functions $f(x)$ and $g(x)$ at $x = 2$. First, calculate $f(2)$ using the function $f(x) = 2x$. Then, calculate $g(2)$ using the function $g(x) = |x - 7|$. Finally, multiply the results of $f(2)$ and $g(2)$ to get $(f \cdot g)(2)$.

Step 1: Evaluate $ f(2) $

Using the function $ f(x) = 2x $: \[ f(2) = 2 \cdot 2 = 4 \]

Step 2: Evaluate $ g(2) $

Using the function $ g(x) = |x - 7| $: \[ g(2) = |2 - 7| = | -5 | = 5 \]

Step 3: Calculate $ (f \cdot g)(2) $

Now, we multiply the results from Steps 1 and 2: \[ (f \cdot g)(2) = f(2) \cdot g(2) = 4 \cdot 5 = 20 \]