Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
Sure, let's solve for [tex]\( f(-3) \)[/tex] and [tex]\( g(-2) \)[/tex] using the given functions step-by-step.
Starting with [tex]\( f(x) = 5x + 4 \)[/tex]:
1. To find [tex]\( f(-3) \)[/tex], substitute [tex]\( x = -3 \)[/tex] into the function [tex]\( f(x) \)[/tex]:
[tex]\[ f(-3) = 5(-3) + 4 \][/tex]
2. Now, calculate the value:
[tex]\[ f(-3) = -15 + 4 \][/tex]
3. Simplify the expression:
[tex]\[ f(-3) = -11 \][/tex]
Next, for [tex]\( g(x) = 3x^3 + 5 \)[/tex]:
1. To find [tex]\( g(-2) \)[/tex], substitute [tex]\( x = -2 \)[/tex] into the function [tex]\( g(x) \)[/tex]:
[tex]\[ g(-2) = 3(-2)^3 + 5 \][/tex]
2. Now, calculate the value of [tex]\((-2)^3\)[/tex]:
[tex]\[ (-2)^3 = -8 \][/tex]
3. Substitute back into the function:
[tex]\[ g(-2) = 3(-8) + 5 \][/tex]
4. Calculate the resulting value:
[tex]\[ g(-2) = -24 + 5 \][/tex]
5. Simplify the expression:
[tex]\[ g(-2) = -19 \][/tex]
So, the solutions are:
[tex]\[ f(-3) = -11 \][/tex]
[tex]\[ g(-2) = -19 \][/tex]
Starting with [tex]\( f(x) = 5x + 4 \)[/tex]:
1. To find [tex]\( f(-3) \)[/tex], substitute [tex]\( x = -3 \)[/tex] into the function [tex]\( f(x) \)[/tex]:
[tex]\[ f(-3) = 5(-3) + 4 \][/tex]
2. Now, calculate the value:
[tex]\[ f(-3) = -15 + 4 \][/tex]
3. Simplify the expression:
[tex]\[ f(-3) = -11 \][/tex]
Next, for [tex]\( g(x) = 3x^3 + 5 \)[/tex]:
1. To find [tex]\( g(-2) \)[/tex], substitute [tex]\( x = -2 \)[/tex] into the function [tex]\( g(x) \)[/tex]:
[tex]\[ g(-2) = 3(-2)^3 + 5 \][/tex]
2. Now, calculate the value of [tex]\((-2)^3\)[/tex]:
[tex]\[ (-2)^3 = -8 \][/tex]
3. Substitute back into the function:
[tex]\[ g(-2) = 3(-8) + 5 \][/tex]
4. Calculate the resulting value:
[tex]\[ g(-2) = -24 + 5 \][/tex]
5. Simplify the expression:
[tex]\[ g(-2) = -19 \][/tex]
So, the solutions are:
[tex]\[ f(-3) = -11 \][/tex]
[tex]\[ g(-2) = -19 \][/tex]
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.