Given the function f(x)=x-(3)/(2), then what is f(x+2) as a simplified polynomial? Answer:

Substitute x with (x+2): Substitute x with (x+2) in the function f(x). We have the function f(x) = x - 3/2. To find f(x+2), we replace every x in the function with (x+2). f(x+2) = (x+2) - 3/2Simplify the expression: Simplify the expression. Now we simplify the expression by combining like terms. f(x+2) = x + 2 - 3/2 To subtract 3/2 from 2, we need a common denominator. The common denominator is 2, so we convert 2 to 4/2. f(x+2) = x + 4/2 - 3/2Combine like terms: Continue simplifying by combining the fractions. Now we subtract the fractions. f(x+2) = x + (4/2 - 3/2) f(x+2) = x + 1/2

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Given the function
f(x)=x-(3)/(2), then what is
f(x+2) as a simplified polynomial?
Answer:

Given the function $f(x)=x-\frac{3}{2}$ , then what is $f(x+2)$ as a simplified polynomial? $\newline$ Answer:

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Algebra 1

Multiplication with rational exponents

Full solution

Q. Given the function

f(x)=x-\frac{3}{2}

, then what is

f(x+2)

as a simplified polynomial?

\newline

Answer:

Substitute $x$ with $(x+2)$ : Substitute $x$ with $(x+2)$ in the function $f(x)$ . We have the function $f(x) = x - \frac{3}{2}$ . To find $f(x+2)$ , we replace every $x$ in the function with $(x+2)$ . $f(x+2) = (x+2) - \frac{3}{2}$
Simplify the expression: Simplify the expression. $\newline$ Now we simplify the expression by combining like terms. $\newline$ $f(x+2) = x + 2 - \frac{3}{2}$ $\newline$ To subtract $\frac{3}{2}$ from $2$ , we need a common denominator. The common denominator is $2$ , so we convert $2$ to $\frac{4}{2}$ . $\newline$ $f(x+2) = x + \frac{4}{2} - \frac{3}{2}$
Combine like terms: Continue simplifying by combining the fractions. $\newline$ Now we subtract the fractions. $\newline$ $f(x+2) = x + \left(\frac{4}{2} - \frac{3}{2}\right)$ $\newline$ $f(x+2) = x + \frac{1}{2}$