### Home > APCALC > Chapter 1 > Lesson 1.2.2 > Problem1-38

1-38.

If f(x) = $\frac { 3 } { x ^ { 2 } }$ + 1. 1-38 HW eTool (Desmos) Homework Help ✎

1. State the domain and range of f.

Domain: Notice the x in the denominator. What values of x must be excluded?
Range: Notice that x is squared. What does this mean about the outputs of f(x)? Furthermore, what will the +1 do to the range?

2. Write expressions for f(−x), f($\sqrt { x }$), and f(x + h).

$f(x)=\frac{3}{x^{2}}+1$

$f(-x)=\frac{3}{-x^{2}}+1=\ \ \ \ \ \ \text{SIMPLIFY}$

$f(\sqrt{x})=\frac{3}{(\sqrt{x})^{2}}+1=\ \ \ \ \ \ \text{ SIMPLIFY}$

$f(x+h)=\frac{3}{(x+h)^{2}}+1=\ \ \ \ \ \text{SIMPLIFY}$

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