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3 years ago

Select the correct answer.

Mathematics

1 answer:

Leviafan [203]3 years ago

4 0

Answer:

The graph of function g is the graph of function f shifted 6 units up.

Step-by-step explanation:

Given

$f(x) = 2^x$

$g(x) =2^x + 6$

Required

Compare g(x) to f(x)

Substitute $f(x) = 2^x$ in $g(x) =2^x + 6$

$g(x) = f(x) + 6$

<em>This implies that f(x) is shifted 6 units upward to give g(x)</em>

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$\frac{-4r}{4}+\frac{5r}{3}$

$\frac{-4r}{4},\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b},\\-\frac{4r}{4},\\\mathrm{Divide\:the\:numbers:}\:\frac{4}{4}=1,\\-r,\\-r+\frac{5r}{3}$

$\mathrm{Convert\:element\:to\:fraction}:\quad \:r=\frac{r3}{3},\\\frac{5r}{3}-\frac{r\cdot \:3}{3}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c},\\\frac{5r-r\cdot \:3}{3}$

$5r-r\cdot \:3,\\\mathrm{Add\:similar\:elements:}\:5r-3r=2r,\\\frac{2r}{3}$

$The\:Correct\:Answer\:Is\:\frac{2r}{3}$

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$-Austint1414$

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