Write a function g in terms of f so that the statement is true. the graph of g is a reflection in the y-axis of the graph of f g(x)=

A function g in terms of f wherein the function g is a reflection in the y-axis of the graph of f can be written as g(x) = f(-x). With this expression, we can see that for a given x-value, the y-value would have an opposite sign. Take for example, let f = 2x. We construct a table to show the resulting x and y values.

x           f(-x)               g(x)

-2         2(2) = 4          2(-2) = -4

-1         2(1) = 2          2(-1) = -2

0          2(0) = 0          2(0) = 0      

1          2(-1) = -2       2(1) = 2

2          2(-2) = -4       2(2) = 4

Plotting the points of functions f and g would show that the graph of the function g reflects function f about the y-axis.

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3