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2 years ago

If f(x) = 3x+2, find f(f¹(14))

Mathematics

1 answer:

Grace [21]2 years ago

4 0

Answer:

f(f¹(14)) = 134

Step-by-step explanation:

Given :

f(x) = 3x + 2

Find the value of f(14) :

f(14) = 3(14) + 2
f(14) = 42 + 2
f(14) = 44

Therefore, f(f¹(14)) = f(44).

Solving :

f(44) = 3(44) + 2
f(44) = 132 + 2
f(f¹(14)) = 134

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AVprozaik [17]

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7 0

3 years ago

Read 2 more answers

Half an hour after leaving her house Beverly was 20 miles from home. At this point she merged onto the highway and was traveling

N76 [4]

Answer:

1. 45.71 miles

2. 10 miles

3. 89.43 miles

4. 0.79 hr

5. 0.025 hr

Step-by-step explanation:

speed = distance/time

After 4 hrs Beverly was 200 miles from home , however she had spent 0.5hr travelling for 20 miles prior to getting to the highway.

Therefore;

Constant speed before Highway = 20/0.5 = 40 miles/hr

Constant speed at Highway = $\frac{(200-20)}{(4-0.5)}$ = 51.43 miles/hr

1. in 1 hr beverly will have travelled;

⇒ (20 miles in 0.5 hr ) + (0.5 hr at speed 51.43 miles/hr)

⇒ 20 + (0.5 x 51.43) = 45.71 miles

2. In 0.25 hr beverly had not reached the highway

⇒ distance = speed x time

⇒ distance = 40 x 0.25 = 10 miles

3. in 1.85 hrs beverly will have travvelld;

⇒ (20 miles in 0.5 hr ) + (1.35 hr at speed 51.43 miles/hr)

⇒ 20 + 69.43 = 89.43 miles

4. Time taken to get to 35 miles

⇒ (20 miles in 0.5 hr ) + (15 miles at speed 51.43 miles/hr)

⇒ 0.5hr + (15/51.43) hr = 0.79 hr

5. Time taken to travel 1 mile

⇒ time = distance / speed = 1 mile / 40 miles/hr

⇒ time = 0.025 hr

8 0

3 years ago

The parabola y = x² - 4 opens: A.) up B.) down C.) right D.) left

fomenos

Answer:

Step-by-step explanation:

Here the easy rules to remember the orientation of the parabolas are

a) If x is squared it opens up or down. And its coefficient of { $x^{2}[tex] is negative it opens down.b) If y is squared it opens side ways right or left. It its coefficient of [tex]y^{2}$