Step-by-step explanation:
For g(x) = f(x) + 5:
Because f(x) = x, this can be simplified to:
y = x + 5
For h(x) = 2 * f(x) - 3, simplified to:
2*x - 3 or 2x - 3
For j(x) = , simplified it is
For f(x), this can be drawn relatively easy, it is a linear line starting at the coordinates (0,5) gradually increasing by 1 in both the y and x axis. It can be drawn parallel to the line given in your question just one above.
For h(x), the line will start at (0, -3) but then have an incline of 2, i.e. the second point would be at 1, -1, and the third at (3, 3). This is because you are doubling the value of x but subtracting 3.
For j(x), x is halved so the line will be less steep although it will start at the coordinate (0, -1) because 1 is being subtracted.
Hope this helps!
