F(x)=8x^2-2x+3 g(x)=12x^2+4x-3 what is h(x)=f(x)-g(x)?
2 answers:
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The first thing we must do for this case is to define variables.
We have then:
x: number of slices
y: total cost
We write the linear function that relates the variables.
We have then:
Then, we evaluate the number of slices to find the total cost.
-two slices cost:
We substitute x = 2 in the given equation:
Answer:
two slices = 2.2 $
-ten slices cost:
We substitute x = 10 in the given equation:
Answer:
ten slices = 11 $
-half a slice cost:
We substitute x = 1/2 in the given equation:
Answer:
half a slice = 0.55 $
To find the inverse
replace f(x) with y
switch all x and y
solve for y
replace y with f⁻¹(x)
f(x)=x^2-9
y=x^2-9
x=y^2-9
x+9=y^2
sqrt both sides
replace
f⁻¹(x)=
that is the inverse
replace f(x) with y
switch all x and y
solve for y
replace y with f⁻¹(x)
f(x)=x^2-9
y=x^2-9
x=y^2-9
x+9=y^2
sqrt both sides
replace
f⁻¹(x)=
that is the inverse