Answer:
h(-2) = 32
[tex]\displaystyle\mathsf{h(\frac{20}{7})=-2}[/tex]
Step-by-step explanation:
Given the linear function, h(x) = -7x + 18:
h(-2)
In order to evaluate h(-2), simply substitute the value of the given input, x = -2, into the function.
h(x) = -7x + 18
h(-2) = -7(-2) + 18
h(-2) = 14 + 18
h(-2) = 32
Therefore, the output value when x = -2 is: h(-2) = 32.
Find x if h(x) = -2.
This particular problem asks us to find the corresponding domain (x-value) given the range value of y = -2.
Substitute the value of y = -2 into the function to solve for the value of x:
h(x) = -7x + 18
-2 = -7x + 18
Subtract 18 from both sides:
-2 - 18 = -7x + 18 - 18
-20 = -7x
Divide both sides by -7 to solve for x:
[tex]\displaystyle\mathsf{\frac{-20}{-7}\:=\:\frac{-7x}{-7} }[/tex]
[tex]\displaystyle\mathsf{x\:=\frac{20}{7}}[/tex]
Therefore, the value of x when h(x) = -2 is: [tex]\displaystyle\mathsf{h(\frac{20}{7})=-2}[/tex].
