(A) a triangle whose angles each measure less than 90°
Answer:
A
Step-by-step explanation:
So we have the two functions:

And we want to find:

This is the same as:

So, to find the answer, find g(1) first:

Now, substitute this value for g(1):

And plug this into f(x):

Therefore:

Our answer is A
Answer:
B. 8
Step-by-step explanation:
48/8=6
56/8=7
Answer:
The inverse function is f(x) = x^2 - 3
Step-by-step explanation:
To find the inverse of any function, start by switching the x and f(x) values.
f(x) = √(x + 3)
x = √(f(x) + 3)
Now solve for the new f(x). The result will be your inverse function.
x = √(f(x) + 3)
x^2 = f(x) + 3
x^2 - 3 = f(x)
Answer:
x = 15
Therefore, the length and width are 31 and 47.
Step-by-step explanation:
Perimeter = (2x + 1) + (2x + 1) + (3x + 2) + (3x + 2) = 156
Simplified,
10x + 6 = 156
Subtract 6 from both sides, then divide by 10.
10x = 150
x = 15
To find the length and width, substitute 15 (the value of x) into the individual equations.
2(15) + 1 = 31
3(15) + 2 = 47