Function Operations — Unit test Answers

If h(x) is the inverse of f(x), what is the value of h(f(x))?

If c(x) = 4x – 2 and d(x) = x2 + 5x, what is ?

Which function has an inverse that is also a function?

If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to ?

If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?

If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to ?

The cost, c, of a ham sandwich at a deli varies directly with the number of sandwiches, n. If c = $54 when n is 9, what is the cost of the sandwiches when n is 3?

The table shows how far a distance runner has traveled since the race began. What is her average rate of change, in miles per hour, during the interval 0.75 to 1.00 hours?Time Elapsed (Hours)Miles Traveled (Miles)0.502.000.753.501.004.75

If , what is ?

The graph of f(x) is shown below.If f(x) and its inverse function, , are both plotted on the same coordinate plane, where is their point of intersection?

If a(x) = 3x + 1 and , what is the domain of ?

If f(x) = 7 + 4x and , what is the value of ?

The value, V(m), of a comic book m months after publication has an average rate of change of –0.04 between m = 36 and m = 60. Which statement must be true?

If and , what is the domain of ?

Given , what is the average rate of change in f(x) over the interval [1, 5]?

If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?

The function h(x) is given below.h(x) = {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}Which of the following gives h–1(x)?

The graphs of f(x) and g(x) are shown below. Which of the following is the graph of (g – f)(x)?