3 years ago

Question 20(Multiple Choice Worth 1 points)

Mathematics

1 answer:

kirza4 [7]3 years ago

7 0

X = 4 because 1 over 24 times 4 is 4 over 24 which is converted to 1 over 6

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Aleonysh [2.5K]

Answer:

Hence The composition $(fog)(x)$ of the given function is $x^2+12x+29$ .

Step-by-step explanation:

Given:

$f(x) = x^2+2x-6$

$g(x)=x+5$

We need to find $(f o g)(x)$ .

Solution:

Now we can say that;

$(f o g)(x)$ = $f(g(x))$

$(fog)(x) = (x+5)^2+2(x+5)-6$

Now Applying distributive property we get;

$(fog)(x) = (x+5)^2+2\times x+2\times5-6\\\\(fog)(x) = (x+5)^2+2x+10-6\\\\(fog)(x) = (x+5)^2+2x+4$

Now Solving the exponent function we get;

$(fog)(x) = x^2+2\times x\times 5+5^2+2x+4\\\\(fog)(x) = x^2+10x+25+2x+4\\\\(fog)(x) = x^2+12x+29$

Hence The composition $(fog)(x)$ of the given function is $x^2+12x+29$ .

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4 years ago