Hi i have another question like this that i can’t figure out : )

f(g(-1)) = -8 and g(f(1/2) = 4/19.

Step-by-step explanation:

The question specifies f(x) = x^2 + 9x and g(x) = 1/x. The question requires that there should be composite functions. This means a function in a function. Therefore, f(g(x)) means that the function g(x) is taken is an input in the function f(x). Simply replace g(x) instead of x in f(x). This gives:

f(g(x)) = (1/x)^2 + 9(1/x) = x^(-2) + 9/x.

Similar process for g(f(x)) gives:

g(f(x)) = 1/(x^2 + 9x).

Now there are two separate composite functions. Now taking inputs in the composite functions:

f(g(-1)) = (-1)^(-2) + 9/(-1) = 1 - 9 = -8.

g(f(0.5) = 1/(0.5^2 + 9(0.5)) = 1/(0.25+4.5) = 1/4.75 = 100/475 = 4/19.

Therefore f(g(-1)) = -8 and g(f(1/2) = 4/19!!!

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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answer:   expression= p+p*d%

price reduction + sale price = $625

sale price: $p+$p*d%

where d% is the percentage of discount

step-by-step explanation:

original price = p

price went down by $150 price reduction $p*d%

sale price= $ 475

therefore the price before sale is: $625

and the expression that shows the price before sale is: p+p*d%