The function of the graph is D. F(x) = 1 / ( x + 1 )²
Further explanation
Function is a relation which each member of the domain is mapped onto exactly one member of the codomain.
There are many types of functions in mathematics such as :
- Linear Function → f(x) = ax + b
- Quadratic Function → f(x) = ax² + bx + c
- Trigonometric Function → f(x) = sin x or f(x) = cos x or f(x) = tan x
- Logarithmic function → f(x) = ln x
- Polynomial function → f(x) = axⁿ + bxⁿ⁻¹ + ...
If function f : x → y , then inverse function f⁻¹ : y → x
Let us now tackle the problem!
The graph shown in the figure is the graph [tex]\frac{1}{x^2}[/tex] which is translated to the left by 1 unit, so we can find this graph function in the following way:
[tex]f(x) = \frac{1}{x^2}[/tex]
[tex]F(x) = f(x + 1)[/tex]
[tex]\large {\boxed {F(x) = \frac{1}{(x + 1)^2} } }[/tex]
Learn more
- Inverse of Function : https://brainly.com/question/9289171
- Rate of Change : https://brainly.com/question/11919986
- Graph of Function : https://brainly.com/question/7829758
Answer details
Grade: High School
Subject: Mathematics
Chapter: Function
Keywords: Function , Trigonometric , Linear , Quadratic
