The value of the composite function f(g(x)) is 2x^2 + 15
<h3>How to evaluate the composite function f(g(x))?</h3>
The functions are given as:
f(x) = 2x + 1
g(x) = x^2 + 7
We have the function f(x) to be
f(x) = 2x + 1
Substitute g(x) for x in the equation f(x) = 2x + 1
So, we have
f(g(x)) = 2g(x) + 1
Substitute g(x) = x^2 + 7 in the equation f(g(x)) = 2x + 1
f(g(x)) = 2(x^2 + 7) + 1
Open the brackets
f(g(x)) = 2x^2 + 14 + 1
Evaluate the sum
f(g(x)) = 2x^2 + 15
Hence, the value of the composite function f(g(x)) is 2x^2 + 15
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<u>Complete question</u>
if f(x) = 2x + 1 and g(x) = x^2 + 7
which of the following is equal to f(g(x))
Equal expressions can be taken equal to an another variable. The system of equations representing the equation is 
<h3>What is logarithm and some of its useful properties?</h3>
When you raise a number with an exponent, there comes a result.
Lets say you get
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
Some properties of logarithm are:
Log with base e = 2.71828... is written as 
simply.
Log with base 10 is written as 
simply.
The given equation is:
Adding 
on both the sides, we get:
The, we get two equations as:
This is the needed system of equations.
Learn more about logarithms here:
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Given two points: A(x₁,y₁) and B(x₂,y₂), the slope of the line that passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)
If we take two points of this line (3,0) and (3,1) and calculate the slope, we have:
m=(1-0)(0/0)=1/0 (any number divided by zero gives an indetermined value).
Therfore the slope is undefined.
Answer: D The slope is undefined.
A 90 degree rotation about its center
Um I think its 3 tell me if you get it right
