Which of the following sentences utilizes comparative structures correctly: A) Nosso carro é pior de seu. B) Ela é melhor de ele. C) Nós corremos melhor do que eles. D) Ele é mais melhor do que os outros meninos.
The correct answer is C due to the correct use of the preposition "de" as well as the article "o." When making comparisons in Portuguese, the formula is as follows: melhor/pior + do + que. We can see that both answers C and D correctly employ "do," however answer D commits another cardinal sin of comparisons: using "mais melhor" or "more better" in English. Being that melhor is already the superlative, no other modifiers are needed to indicate order. As such, C is the only correct option.
Choose the incorrect statement out of the four listed below: A) When I arrived at the supermarket, there was no more fruit. B) My mother was went to the supermarket to see if there were any more fruits. C) We hope that there is some fruit at the supermarket. D) I don't think that we will find any fruit at the supermarket.
The incorrect statement above is B. The example highlights a common confusion in regards to past tense vs past progressive tenses. The past tense of "to go" is "went" and the past progressive of "to go" is "was going." The former indicates an isolated incident, while the latter indicates a more prolonged or repeated event. Answer B mixed both tenses in an attempt to indicate the past; however, the correct way to phrase the sentence would be "My mother went to the supermarket to see if there were any more fruits."
Evaluate f(g(4)) and g(f(4)) if g(x) = 3x^2 - 9 and f(x)=4x+3
To solve for f(g(4)) we must first plug in 4 for x in our function g of x. 4 squared is 16, times 3 is 48, minus 9 is 39. Then, we take that answer, 39, and plug it into our function f of x. 39 times 4 is 156, plus 3 is 159. Thus, f(g(4) is 159. To solve for g(f(4)) we need to slightly modify our previous process. We first must find f(4) by plugging in 4 for x in our function f of x. 4 times 4 is 16, plus 3 is 19. Then, we can plug our answer for f(4), 19, into our equation for g(x). 19 squared is 361, times 3 is 1083, minus 9 is 1074. Thus, g(f(4)) is 1074.