Math Problem Statement
Given the function f(x)=8x-2 and g(x)=-6x+13 find the following: a. (f-g)(x)= b. (f-g)(3)= c. (fg)(x)= d. (fg)(0)=
Solution
Let's go step by step to solve the given problems based on the functions and .
a.
Substitute the given expressions for and : Simplify the expression: So,
b.
Substitute into : So,
c.
Substitute the given expressions for and : Use the distributive property to multiply: Simplify: So,
d.
Substitute into : So,
Summary of the answers:
a.
b.
c.
d.
Would you like more details on any of these steps, or do you have any other questions?
Here are 5 related questions for further practice:
- Find for the same functions and .
- Compute .
- Find the derivative of .
- Determine the x-value where .
- Find the x-intercepts of .
Tip: When combining functions, always distribute and combine like terms carefully to avoid errors in signs and coefficients.
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Math Problem Analysis
Mathematical Concepts
Algebra
Function Operations
Distributive Property
Formulas
(f - g)(x) = f(x) - g(x)
(f * g)(x) = f(x) * g(x)
Theorems
Distributive Property of Multiplication over Addition
Suitable Grade Level
Grades 9-10
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