Given f (x) = 2x + 3 and g(x) = x2 – 5x + 6, compute (fog)(x) =

(fog)(x) = 2x² - 10x + 15

Step-by-step explanation:

Let us solve our question

∵ f(x) = 2x + 3

∵ g(x) = x² - 5x + 6

→ We need to compute (fog)(x)

∴ Substitute x in f(x) by g(x)

∵ (fog)(x) = 2(x² - 5x + 6) + 3

→ Multiply the bracket by 2

∵ 2(x² - 5x + 6) = 2(x²) - 2(5x) + 2(6)

∴ 2(x² - 5x + 6) = 2x² - 10x + 12

→ Substitute it in the composite function above

∴ (fog)(x) = 2x² - 10x + 12 + 3

→ Add the like terms 12 and 3

∴  (fog)(x) = 2x² - 10x + 15

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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step-by-step explanation: