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goldfiish [28.3K]
2 years ago
11

What is the range of the function f(x) = |x – 3| + 4?

Mathematics
1 answer:
lukranit [14]2 years ago
6 0

Answer: R: {f(x) ∈ ℝ | f(x) ≥ 4}

Step-by-step explanation:

|x-3| \geq 0 for all real x, so the range is f(x) \geq 4.

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\frac{-13}{5} = \frac{-13}{5}\frac{7}{7} = \frac{-91}{35} \qquad \qquad \frac{12}{7} = \frac{12}{7}\frac{5}{5} = \frac{60}{35}


So now we can sum them:


\frac{-13}{5}+\frac{12}{7} = \frac{-91}{35}+\frac{60}{35} = \frac{-91+60}{35} = \frac{-31}{35}


Multiplication is easier, since you just have to multiply numerators and denominators with each others:


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Finally, we must divide the two fractions. Dividing by a fraction is the same this as multiplying by the inverse of that fraction, i.e. we have to switch numerator and denominator:


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