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maks197457 [2]
3 years ago
10

Let f(x) = x + 8 and g(x) = x2 − 6x − 7. Find f(g(2)). (1 point) −7 −3 10 33

Mathematics
1 answer:
qwelly [4]3 years ago
6 0
Since the expressions for f(x) and g(x) are already given, f(g(2)) means to substitute the value of 2 to the expression of g(x), then further substituting the obtained value of g(2) into the expression of f(x). This is shown below:

f(x) = x + 8
g(x) = x^2 - 6x - 7

f(g(x) = x^2 - 6x - 7 + 8 
f(g(2)) = 2^2 - 6(2) + 1
f(g(2)) = 4 - 12 + 1
f(g(2)) = -7

Therefore, the correct answer is -7.
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1615/170 simplify show work
Sloan [31]
1615/170

We first need to convert this into a proper fraction. Which means that the denominator must be larger than the numerator for it to be proper. Also, since 1615 is BIGGER than 170, we will end up with a mixed fraction. A mixed fraction always has a whole number.

1615 can go into 170 how many times?

9 times

170*9 = 1530

Now subtract.

1615 - 1530 = 85

Now we have our mixed fraction:  9  85/170

Now we must simplify the fraction.

85/5 = 17
170/5 = 34

17/34 is the smallest possible fraction we can get. 

9 17/34

Final answer:  9  \frac{17}{34}


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