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Lemur [1.5K]
3 years ago
5

Given f(x) = 8x + 1 and g(x) = f(x − 2), which equation represents g?

Mathematics
1 answer:
navik [9.2K]3 years ago
5 0

Answer: Option D.

Step-by-step explanation:

You have the following function f(x):

f(x) =8x + 1

According to the information provided in the exercise, the function g(x) is:

g(x) = f(x - 2)

You can follow these steps in order to find g(x):

1. First, let's find f(x-2). This is:

f(x-2) =8(x-2) + 1\\\\f(x-2) =8x-16 + 1\\\\f(x-2) =8x-15

2. Therefore, you since g(x) = f(x - 2), then g(x) is:

g(x) =8x-15

Notice that this matches with Option D.

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3 years ago
Two altitudes of a triangle have lengths $12$ and $14$. What is the longest possible integer length of the third altitude
nataly862011 [7]

The longest possible altitude of the third altitude (if it is a positive integer) is 83.

According to statement

Let h is the length of third altitude

Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.

From Area of triangle

A = 1/2*B*H

Substitute the values in it

A = 1/2*a*12

a = 2A / 12 -(1)

Then

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Now, we will use the triangle inequalities:

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Learn more about TRIANGLE here brainly.com/question/2217700

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