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3 years ago

Please help im stuck on these questions

Mathematics

2 answers:

jeka57 [31]3 years ago

7 0

Answer:

may I help u....................

....... m

Lady bird [3.3K]3 years ago

6 0

Step-by-step explanation:

For no. 3

x - 3 = 3 - x

x + x = 3 + 3

2x = 6

x = 6 / 2

x = 3

For no. 4

3(x + 4) = 3x + 4

3x + 12 = 3x + 4

3x - 3x = 4 - 12

0 = - 8

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If h(x)=(fog)(x) and h(x)=³√x+3, find g(x) if f(x) =³√x+2

ipn [44]

Answer:

$g(x)=x+1$

The problem:

Find $g(x)$ if $h(x)=(f \circ g)(x)$ ,

$h(x)=\sqrt[3]{x+3}$ , and

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

Step-by-step explanation:

$h(x)=(f \circ g)(x)$

$h(x)=f(g(x))$

Replace $x$ in $f(x)=\sqrt[3]{x+2}$ with $g(x)$ since we are asked to find $f(g(x))$ :

$\sqrt[3]{x+3}=\sqrt[3]{g(x)+2}$

$\sqrt[3]{x+1+2}=\sqrt[3]{g(x)+2}$

This implies that $x+1=g(x)$

Let's check:

$(f \circ g)(x)$

$f(g(x))$

$f(x+1)$

$\sqrt[3]{(x+1)+2}$

$\sqrt[3]{x+1+2}$

$\sqrt[3]{x+3}$ which is the required result for $h(x)$ .

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Step-by-step explanation:

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