Answer:
To find f(-3), substitute -3 for x in the equation for f(x):
f(-3) = 2(-3) + 5 = -6 + 5 = -1
Answer:
f(-3) = -1
To find g(x) - h(x), first substitute x into both g(x) and h(x) and then subtract h(x) from g(x):
g(x) - h(x) = -3x^2 + 2x - 6 - (-4 - x) = -3x^2 + 3x - 2
Answer:
g(x) - h(x) = -3x^2 + 3x - 2
To solve for x when f(x) = h(x), first substitute x into both f(x) and h(x), and then solve for x:
2x + 5 = -4 - x
3x = -9
x = -3
Answer:
x = -3
To determine which of the functions are linear, we need to look at the degree of the polynomials in each function. Linear functions have a degree of 1, while non-linear functions have a degree greater than 1.
f(x) = 2x + 5 is linear because it has a degree of 1
g(x) = -3x^2 + 2x - 6 is non-linear because it has a degree of 2
h(x) = -4 - x is linear because it has a degree of 1
Answer:
f(x) and h(x) are linear, while g(x) is non-linear.