Question 1

Given the functions $$f(x) = x + 4$$, $$g(x) = |x| + 1$$, and $$h(x) = \dfrac{1}{x+3}$$, what is the value of $$(f - 2h)(-4)$$?

Accepted Answer

$$-1$$

Question 2

If $$g(x) = |x| + 1$$, what is $$g(-4)$$?

Accepted Answer

$$5$$

Question 3

Given $$h(x) = \dfrac{1}{x+3}$$, for which value of $$x is$$ $$h(x)$$ undefined?

Accepted Answer

$$x = -3$$

Question 4

If $$f(x) = x + 4$$ and $$g(x) = |x| + 1$$, what is $$(f \circ g)(-2)$$?

Accepted Answer

$$7$$

Question 5

Given $$f(x) = x + 4$$ and $$h(x) = \dfrac{1}{x+3}$$, what is $$(h \circ f)(-7)$$?

Accepted Answer

$$\dfrac{1}{0}$$

Question 6

If $$g(x) = |x| + 1$$, which of the following statements is true?

Accepted Answer

$$g(x) is $$always greater than or equal to 1$

Question 7

Given $$f(x) = x + 4$$, what is the inverse function $$f^{-1}(x$$)$$?

Accepted Answer

$$x - 4$$

Question 8

If $$h(x) = \dfrac{1}{x+3}$$, what is the domain of $$h(x)$$?

Accepted Answer

$$x 
eq -3$$

Question 9

Given $$f(x) = x + 4$$ and $$g(x) = |x| + 1$$, what is $$(g - f)(2)$$?

Accepted Answer

$$-3$$

Question 10

If $$h(x) = \dfrac{1}{x+3}$$, what is $$h(f(-4))$$?

Accepted Answer

$$\dfrac{1}{0}$$

Question 11

Given $$f(x) = x + 4$$, $$g(x) = |x| + 1$$, and $$h(x) = \dfrac{1}{x+3}$$, which of the following is the correct expression for $$(f - 2h)(x)$$?

Accepted Answer

$$x + 4 - \dfrac{2}{x+3}$$

Question 12

If $$g(x) = |x| + 1$$, what is the range of $$g(x)$$?

Accepted Answer

$$[1, \infty)$$

Question 13

Given $$f(x) = x + 4$$, what is $$f(f(-2))$$?

Accepted Answer

$$6$$

Question 14

If $$h(x) = \dfrac{1}{x+3}$$, what is $$h(-2)$$?

Accepted Answer

$$\dfrac{1}{1}$$

Question 15

Given $$f(x) = x + 4$$ and $$g(x) = |x| + 1$$, what is $$(g \circ f)(-5)$$?

Accepted Answer

$$10$$

Functions and Function Evaluation: College Algebra Study Notes

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