The graph shows the prices, in dollars, of different numbers of sandwiches at Juan's store. The table shows the prices, in dolla
1 answer:
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Here we need to find fog and gof, and they must be equal to x .
Let's check out fog
fog = f(g(x))
Substituting the value of g(x) in f(x) for x, we will get
Domain
Here the input function is g(x), and the denominator should not be 0. So x should not be zero. Therefore, domain is
Now let's check gof
gof = g(f(x))
Here we need to insert f(x) in g(x) for x, and on doing that , we will get
Domain
Here the input function is f(x), and denominator should not be zero.
SO domain is
Since fog = gof =x, so the given function are inverses of each other .
Answer:
y = 2 (x + seven-halves) squared minus one-fourth [y = ]
Step-by-step explanation:
We know that,
vertex form is y = a(x-h)² + k
vertex is (h, k)
Now,
Given that the equation is -
y = (x+3)² + (x+4)²
= x² + 3² + 2×3×x + x² + 4² + 2×4×x
= x² + 9 + 6x + x² + 16 + 8x
= 2x² + 14x + 25
=
=
=
=
∴ we get
The vertex form is -
y =
So,
The correct option is - y = 2 (x + seven-halves) squared minus one-fourth (y = )