1. Show that the function G(x)=x+3/2 is the inverse of F(x) = 2x – 3. Step 1: The function notation F(x) can be written as a variable in an equation. Is that variable x or y? Write F(x) = 2x – 3 as an equation with your chosen variable. (2 points) Step 2: Switch the variables in the equation from Step 1. Then solve for y. Show your work. (2 points) Step 3: Show that G(x)=x+3/2 is the inverse of F(x) = 2x – 3. Write your answer in inverse notation. (2 points)

see below

Step-by-step explanation:

F(x) = 2x – 3

Replace f(x) with y

y =2x-3

Exchange x and y

x = 2y-3

Solve for y

Add 3

x+3 = 2y-3+3

x+3 = 2y

Divide by 2

(x+3)/2 = 2y/2

(x+3)/2 =y

The inverse is (x+3)/2

G(x) = (x+3)/2

F ^-1 (x) =  (x+3)/2

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

the probability that a bird is green (.30) is true

step-by-step explanation: