Carilah daerah asal dan daerah hasil masing-masing funsi berikut.

a. f(x) = sqrt(2x + 3)

b. g(x) = sqrt(x ^ 2) - 9

h(y) = x/(4y - 1)

d F(t) = (4 - t ^ 2)/(t ^ 2 - t - 6)

e. G(u)= u²/3-4

f. H(w)= |2w+3/

g. f(x)=√1-2sinx

h. g(z)= √sinx + cosx

Mari kita tentukan daerah asal (domain) dan daerah hasil (range) masing-masing fungsi satu per satu.

### a. \( f(x) = \sqrt{2x + 3} \)

#### **Daerah Asal (Domain):**
Akar kuadrat hanya didefinisikan untuk bilangan non-negatif, sehingga:
\[
2x + 3 \geq 0
\]
\

Explore how to find the domain and range for different types of functions, including square root, rational, trigonometric, and absolute value functions. This detailed guide covers key mathematical concepts and properties, suitable for students in Grades 10-12.

Math Problem Statement

Solution

a. $f(x) = \sqrt{2x + 3}$

Daerah Asal (Domain):

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