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Slav-nsk [51]
3 years ago
5

Please help. I’ll mark you as brainliest if correct!

Mathematics
2 answers:
Strike441 [17]3 years ago
8 0

<em>answer \\ g(x) =  -  |x + 2|   - 1\\ as \: we \: can \: see \: from \: the \: given \: graph \\ above \: that \: the \: graph \: of \: absolute  \\ function \: has \: been \: reflected \: over \: the  \\ x \: axis \:  \: shifted \: 2 \: units \: left \: and \: 1 \:  \\ units \: down. \\ due \: to \: reflection \: there \: is \: a \: negative \\ sign \: shift \: of \: 2 \: units \: left \: is \: given \\ by \: x + 2 \: and \: 1 \: units \: down \: is \: given \\ by \:  - 1 \\ hope \: it \: helps</em>

Ksenya-84 [330]3 years ago
5 0

answer is g(x)=|x+2|-1

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Option 4

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Steps to get the inverse of the given function,

Step 1,

Convert the function into equation,

y=2\frac{1}{2}-3\frac{1}{3}x

Step 2,

Interchange the variables 'x' and 'y',

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Step 3,

Solve the equation for the value of y,

x-2\frac{1}{2}=-3\frac{1}{3}y

x-\frac{5}{2}=-\frac{10}{3}y

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y=-\frac{3}{10}x+\frac{3}{4}

Step 4,

Convert the equation into inverse function,

f^{-1}x=-\frac{3}{10}x+\frac{3}{4}

For x-intercepts,

Substitute y = 0,

0=-\frac{3}{10}x+\frac{3}{4}

\frac{3}{10}x=\frac{3}{4}

x=\frac{10}{4}

x=\frac{5}{2}

x=2\frac{1}{2}

Therefore, x-intercept of the inverse function is (2\frac{1}{2},0).

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