Graph the functions on the same coordinate plane. f(x)=7 g(x)=x2+2x−8 What are the solutions to the equation f(x)=g(x)? Select each correct answer. −5 −3 3 5 7

You just have to set f(x) = g(x), in this case,
f(x) = 7
g(x) = x2+2x-8
so
7 = x2+2x-8
Doing a bit of mathematcial magic, you get
x2+2x-15=0 you can now graph this equation
In doing so, you get x = -5 and x = 3.

Answer Link

jainveenamrata jainveenamrata · Answer 2 · 2022-02-18T11:52:43+01:00

Using the concept of equality the functions f(x) and g(x) are equal for the value of x are -5 and 3.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Given

The functions are [tex]\rm f(x)=7 \ and \ g(x)=x^{2} +2x-8[/tex].

The solution of the function for f(x) = g(x) will be

[tex]\begin{aligned} x^{2} +2x-8 &=7\\x^{2} +2x - 15 &=0\\x^{2} +5x - 3x - 15 &= 0\\(x + 5)(x - 3) &= 0\\ x &= -5, 3\end{aligned}[/tex]

The graph is shown below.

The functions f(x) = g(x) are equal for the value of -5 and 3.

More about the function link is given below.

https://brainly.com/question/5245372