Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
To determine the value of [tex]\((f \cdot g)(-2)\)[/tex], we first need to evaluate the functions [tex]\(f(x)\)[/tex] and [tex]\(g(x)\)[/tex] at [tex]\(x = -2\)[/tex].
Let's start by finding [tex]\(f(-2)\)[/tex]:
[tex]\[ f(x) = 8 - 10x \][/tex]
Substitute [tex]\(x = -2\)[/tex]:
[tex]\[ f(-2) = 8 - 10(-2) \][/tex]
Calculate the value:
[tex]\[ f(-2) = 8 + 20 = 28 \][/tex]
Next, let's find [tex]\(g(-2)\)[/tex]:
[tex]\[ g(x) = 5x + 4 \][/tex]
Substitute [tex]\(x = -2\)[/tex]:
[tex]\[ g(-2) = 5(-2) + 4 \][/tex]
Calculate the value:
[tex]\[ g(-2) = -10 + 4 = -6 \][/tex]
Now we have [tex]\(f(-2) = 28\)[/tex] and [tex]\(g(-2) = -6\)[/tex].
To find [tex]\((f \cdot g)(-2)\)[/tex], we multiply these two values together:
[tex]\[ (f \cdot g)(-2) = f(-2) \cdot g(-2) \][/tex]
Substitute the values we found:
[tex]\[ (f \cdot g)(-2) = 28 \cdot -6 \][/tex]
Calculate the value:
[tex]\[ (f \cdot g)(-2) = -168 \][/tex]
Thus, the value of [tex]\((f \cdot g)(-2)\)[/tex] is [tex]\(-168\)[/tex].
Therefore, the correct answer is [tex]\(-168\)[/tex].
Let's start by finding [tex]\(f(-2)\)[/tex]:
[tex]\[ f(x) = 8 - 10x \][/tex]
Substitute [tex]\(x = -2\)[/tex]:
[tex]\[ f(-2) = 8 - 10(-2) \][/tex]
Calculate the value:
[tex]\[ f(-2) = 8 + 20 = 28 \][/tex]
Next, let's find [tex]\(g(-2)\)[/tex]:
[tex]\[ g(x) = 5x + 4 \][/tex]
Substitute [tex]\(x = -2\)[/tex]:
[tex]\[ g(-2) = 5(-2) + 4 \][/tex]
Calculate the value:
[tex]\[ g(-2) = -10 + 4 = -6 \][/tex]
Now we have [tex]\(f(-2) = 28\)[/tex] and [tex]\(g(-2) = -6\)[/tex].
To find [tex]\((f \cdot g)(-2)\)[/tex], we multiply these two values together:
[tex]\[ (f \cdot g)(-2) = f(-2) \cdot g(-2) \][/tex]
Substitute the values we found:
[tex]\[ (f \cdot g)(-2) = 28 \cdot -6 \][/tex]
Calculate the value:
[tex]\[ (f \cdot g)(-2) = -168 \][/tex]
Thus, the value of [tex]\((f \cdot g)(-2)\)[/tex] is [tex]\(-168\)[/tex].
Therefore, the correct answer is [tex]\(-168\)[/tex].
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.