Math Problem Statement

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

Solution

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Math Problem Analysis

Mathematical Concepts

Functions
Square Roots
Rational Functions
Trigonometric Functions
Absolute Value

Formulas

Domain of a square root function: radicand ≥ 0
Domain of a rational function: denominator ≠ 0
Trigonometric functions: sin(x) and cos(x) ranges

Theorems

Properties of square root functions
Properties of rational functions
Trigonometric identities

Suitable Grade Level

Grades 10-12