Solve the following quadratic equation for all values of x in simplest form. 7+2x^2=11

Step-by-step explanation:

We have:

To solve, we will isolate the x variable. Therefore, subtract 7 from both sides:

Divide both sides by 2:

Take the square root of both sides. Since we’re taking an event root, we will need plus/minus. Therefore:

Therefore, our solutions are:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2