The graph of f(x)=3×2 -3 is shown below. g(x) is a transformation of f(x). How would you write the equation for the function g(x
)? 
1 answer:
A function assigns the values. The function of the graph g(x) is 3(2ˣ).
<h3>What is a Function?</h3>A function assigns the value of each element of one set to the other specific element of another set.
Given the function of the graph is f(x)=3(2ˣ)-3, which is needed to be transformed to g(x), since g(x) is the function of f(x) transformed 3 units upwards therefore, the function of g(x) can be written as,
g(x) = f(x) + 3
g(x) = 3(2ˣ)-3+3
g(x) = 3(2ˣ)
Hence, the function of the graph g(x) is 3(2ˣ).
Learn more about Function:
#SPJ1
You might be interested in
Hi!
We can see here that this is a composition question.
And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).
To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.
Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.
2s cancel.
The natural log and e cancel.
s cancel.
7s cancel.
Hope this helps!
Answer
Length = 10 ft
Width = 5 ft
Explanation
Area of the rectangle given = 50 ft²
Let the width of the rectangle be x
So this means the length of the rectangle will be 3x - 5
What to find:
The dimensions of the rectangle.
Step-by-step solution:
Area of a rectangle = length x width
i.e A = L x W
Put A = 50, L = 3x - 5, W = x into the formula.
The quadratic equation can now be solve using factorization method:
Since the dimension can not be negative, hence the value of x will be = 5.
Therefore, the dimensions of the rectangle will be:
