Mathematics: Whats the difference between somebody calling somebody dad and daddy

ANSWEREXPLANATIONThe given functions are:We want to find the domain of the composite function;This simplifies to,This function is defined for This can be rewritten as,...

Whats the difference between somebody calling

Ответ:

terrell31

11.02.2020

Mathematics

ANSWER

$[1, \infty ]$

EXPLANATION

The given functions are:

a(x) = 3x + 1

$b(x) = \sqrt{x - 4}$

We want to find the domain of the composite function;

$(b \circ \: a)(x) = b(a(x))$

$(b \circ \: a)(x) = b(3x + 1)$

$(b \circ \: a)(x) = \sqrt{3x + 1 - 4}$

This simplifies to,

$(b \circ \: a)(x) = \sqrt{3x - 3}$

This function is defined for

$3x - 3 \geqslant 0$

$3x \geqslant 3$

$x \geqslant 1$

This can be rewritten as,

$[1, \infty ]$

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Whats the difference between somebody calling somebody dad and daddy

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