Composition of Functions

If u(x)=-2x^2+3 and v(x)=1/x, what is the range of (u∘v)(w)?

(-∞,3)

If h(x) = x - 7 and g(x) = x2, which expression is equivalent to (g∘h)(5)?

(5 - 7)^2

Fifteen percent of an employee's taxable income is collected each paycheck. Before taxes are removed from each paycheck, $350 of tax-exempt expenses is taken out. If the variable x represents the employee's pay before tax-exempt expenses and taxes are removed, which expression represents the employee's take-home pay after these deductions?

0.85(x-350)

If h(x) = 5 + x and k(x)=1/x, which expression is equivalent to (k∘h)(x)?

1/(5+x)

If h(x) = 6 - x, what is the value of (h circle h) (10)?

10

If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f circle g) (x)?

3(x^2 + 1) + 2

If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to (f∘g)(10)?

37

If fx=x-3/x and g(x) = 5x - 4, what is the domain of (f∘g)(x)?

C

The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except -3. Which of the following describes the domain of (g∘f)(x)?

all real values except x not-equals 7 and the x for which f (x) not-equals -3

If m (x) = x + 5 Over x minus 1 and n(x) = x - 3, which function has the same domain as (m circle n) (x)?

h(x)=11/x-4