Which is the graph of g(x) = 2x – 1 + 3?

The graph in the attached figure

Step-by-step explanation:

we have

This is a exponential function

The domain is the interval ----> (-∞,∞)

All real numbers

The range is the interval ----> (3,∞)

All real numbers greater than 3

The y-intercept of the function is the value of the function when the value of x is equal to zero

For x=0

The y-intercept is the point (0,3.5)

using a graphing tool

The graph in the attached figure

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