What is the quotient of 2 1/4 and 5/8?

1 answer:

8 0

It's simple math, but if you don't understand, we can help. To begin with, you must first convert 2 1/4 to an improper fraction. You'd be left with 9/4 after the conversion. Write out 9/4 ÷ 5/8. After doing so, find the reciprocal of 5/8 (switch the numerator and the denominator). Now, write out the question as 9/4 × 8/5. Multiply straight across, as you do not need common denominators when multiplying or dividing fractions. Your final answer should be 72/20. When simplified, you should get 3 2/20, or when simplified to the smallest amount, 3 1/10. Hope I was clear enough to help! :)

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For the functions f(x) = x − 3 and g\left(x\right)=\frac{x+7}{2} g ( x ) = x + 7 2 , find [g∘f](x). Group of answer choices \fra

pychu [463]

Answer:

$\textbf{$g(f(x)) = \frac{2x + 1}{2}$ }\\$

Step-by-step explanation:

$$ f(x) = x - 3 $$$$ g(x) = x + \frac{7}{2} $$\textup{To compute g(f(x))}$ \implies g(f(x)) = g(x - 3) $\\\textup{i.e., to substitute $x - 3$ instead of x in g(x)}\\$ \therefore g(x - 3) = x - 3 + \frac{7}{2} $ \\\textup{Simplifying this we get:}\\\textbf{$$g(f(x)) = \frac{2x + 1}{2}$$}$