Answer: All the real values except x ≠ 7 and the x for which f(x)≠-3
Step-by-step explanation:
Since, For function f , the domain is R - {7}
That is, If x is any element of the domain of the function f,
Then, x ≠ 7
(gof)(x) = g(f(x))
Since, For the function g, the domain is R - {-3}
Thus, If f(x) is any element of the domain of the function g,
Then f(x)≠ -3
Hence, Fourth Option is correct.
Reduces to 8=-3. no solutions
Answer:

Step-by-step explanation:
we know that
The simple interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
solve for t

Answer:

5 StartRoot 10 EndRoot
Step-by-step explanation:
we know that
The legs of a 45°-45°-90° triangle are congruent
Let
x ----> the length of one leg of the triangle
Applying the Pythagorean Theorem

where
c is the hypotenuse
a and b are the legs
we have


substitute


Simplify

5 StartRoot 10 EndRoot