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6. Find an equivalent fraction of 3 4 a. denominator 20.
Answers
Answer:
The most difficult part of combining functions is understanding the notation. What does (f\cdot g)(x)(f⋅g)(x)left parenthesis, f, dot, g, right parenthesis, left parenthesis, x, right parenthesis mean?
Well, (f\cdot g)(x)(f⋅g)(x)left parenthesis, f, dot, g, right parenthesis, left parenthesis, x, right parenthesis just means to find the product of f(x)f(x)f, left parenthesis, x, right parenthesis and g(x)g(x)g, left parenthesis, x, right parenthesis. Mathematically, this means that (f\cdot g)(x)=f(x)\cdot g(x)(f⋅g)(x)=f(x)⋅g(x)left parenthesis, f, dot, g, right parenthesis, left parenthesis, x, right parenthesis, equals, f, left parenthesis, x, right parenthesis, dot, g, left parenthesis, x, right parenthesis.
Now, this becomes a familiar problem.
\begin{aligned} (f\cdot g)(x) &= f(x)\cdot g(x)&\gray{\text{Define.}} \\\\ &= \left(2x-3\right)\cdot\left(x+1\right) &\gray{\text{Substitute.}} \\\\ &= 2x^2+2x-3x-3&\gray{\text{Distribute.}} \\\\ &=2x^2-x-3&\gray{\text{Combine like terms.}} \end{aligned}
(f⋅g)(x)
=f(x)⋅g(x)
=(2x−3)⋅(x+1)
=2x
2
+2x−3x−3
=2x
2
−x−3
Answer:
The answer is 15/20.
Step-by-step explanation:
20/4=5
5*numerator(3)=15