The functions f (x), g(x), and h(x) are defined below.
F(x)=3x
G(x)=10x+4
H(x)=x^2-x
Which expression is equivalent to (h-f)(-3)
(h-f)(x) = h(x) - f(x) = (x^2-x)-(3x) = x^2 - 4x
Now plug in x = -3 and maybe one of your choices will match.
(h-f)(-3) can be calculated by subtracting the value of f(-3) from h(-3).
To find f(-3), substitute -3 into the function f(x):
f(-3) = 3(-3) = -9
To find h(-3), substitute -3 into the function h(x):
h(-3) = (-3)^2 - (-3) = 9 + 3 = 12
Now subtract f(-3) from h(-3):
(h-f)(-3) = 12 - (-9) = 12 + 9 = 21
Therefore, the expression (h-f)(-3) is equivalent to 21.
To find the expression equivalent to (h-f)(-3), we need to substitute the value of x as -3 in both h(x) and f(x), and then subtract the result of f(-3) from h(-3).
First, let's find h(-3):
H(x) = x^2 - x
Substituting x = -3:
H(-3) = (-3)^2 - (-3)
H(-3) = 9 + 3
H(-3) = 12
Next, let's find f(-3):
F(x) = 3x
Substituting x = -3:
F(-3) = 3(-3)
F(-3) = -9
Now, subtract f(-3) from h(-3):
(h - f)(-3) = H(-3) - F(-3)
= 12 - (-9)
= 12 + 9
= 21
Therefore, (h - f)(-3) is equivalent to 21.
To find the expression equivalent to (h - f)(-3), we need to subtract the function f(x) from the function h(x) and then evaluate the resulting expression at x = -3.
First, let's compute the difference between h(x) and f(x):
(h - f)(x) = h(x) - f(x)
= (x^2 - x) - (3x)
= x^2 - x - 3x
= x^2 - 4x
Now, substitute x = -3 into the expression x^2 - 4x:
(-3)^2 - 4(-3)
= 9 + 12
= 21
Therefore, the expression equivalent to (h - f)(-3) is 21.