Question

F(x)=2x-3 find domain and range?

Answer 1

Answer:

Find the Domain and Range f(x)=2x-3

f(x)=2x−3f(x)=2x-3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

(−∞,∞)(-∞,∞)

{x|x∈R}{x|x∈ℝ}

Since xx is on the right side of the equation, switch the sides so it is on the left side of the equation.

2x−3=y2x-3=y

Add 33 to both sides of the equation.

2x=y+32x=y+3

Divide each term by 22 and simplify.

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x=y2+32x=y2+32

The range is the set of all valid yy values. Use the graphto find the range.

(−∞,∞)(-∞,∞)

{y|y∈R}{y|y∈ℝ}

Determine the domain and range.

Domain: (−∞,∞),{x|x∈R}(-∞,∞),{x|x∈ℝ}

Range: (−∞,∞),{y|y∈R}(-∞,∞),{y|y∈ℝ}