Let f(x)=2x^2+x-3 and g(x)=x-1. perform the indicated operation, then find the domain. (f/g)(x) a. 1/2x+3; domain: all real numbers expect x=-3/2 b. 2x+3; domain: all real numbers c. 2x^2+3; domain all real numbers d. 2x+3; domain: all real numbers expect x=1

The correct option is D.

Step-by-step explanation:

The given functions are

Both functions are polynomial and the domain of any polynomial is the set of all real numbers.

The domain of is all real number except x=1, because at x=1, g(x)=0.

Therefore option D is correct.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.