Given the function f(x)=(5)/(8)x^(2)+3, find the value of f(-2) in simplest form. Answer:

Identify Function and Value: Identify the function and the value to substitute. We are given the function f(x) = (5/8)x^2 + 3 and we need to find the value of f(-2).Substitute in Function: Substitute x with -2 in the function. f(-2) = (5/8)(-2)^2 + 3Calculate Square: Calculate the square of -2. (-2)^2 = 4Multiply Result: Multiply the result by (5/8). (5/8) * 4 = 5/2Add to Result: Add 3 to the result from Step 4. 5/2 + 3 = 5/2 + 6/2 = 11/2

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Given the function
f(x)=(5)/(8)x^(2)+3, find the value of
f(-2) in simplest form.
Answer:

Given the function $f(x)=\frac{5}{8} x^{2}+3$ , find the value of $f(-2)$ in simplest form. $\newline$ Answer:

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Math Problems

Algebra 2

Evaluate rational expressions II

Full solution

Q. Given the function

f(x)=\frac{5}{8} x^{2}+3

, find the value of

f(-2)

in simplest form.

\newline

Answer:

Identify Function and Value: Identify the function and the value to substitute. $\newline$ We are given the function $f(x) = \frac{5}{8}x^2 + 3$ and we need to find the value of $f(-2)$ .
Substitute in Function: Substitute $x$ with $-2$ in the function. $f(-2) = \left(\frac{5}{8}\right)(-2)^2 + 3$
Calculate Square: Calculate the square of $-2$ . $(-2)^2 = 4$
Multiply Result: Multiply the result by $(\frac{5}{8})$ . $(\frac{5}{8}) \times 4 = \frac{5}{2}$
Add to Result: Add $3$ to the result from Step $4$ . $\newline$ $\frac{5}{2} + 3 = \frac{5}{2} + \frac{6}{2} = \frac{11}{2}$