Question 1

Given $$f(x) = 2x + 3$$ and $$g(x) = x^2$ - 1$$, what is $$(f + g)(2)$$?

Accepted Answer

$$8$$

Question 2

If $$f(x) = x^2$ and g(x) = 3x - 4$, what is (f$$ \cdot g)(-2)$$?

Accepted Answer

$$-28$$

Question 3

Let $$f(x) = x + 1$$ and $$g(x) = 2x. $$What is the domain of the function $$\frac{f}{g}$$?

Accepted Answer

All real numbers except $$x = 0$$

Question 4

Given $$f(x) = x^2$ and g(x$$) = \sqrt{x}$$, what is (f$$ \circ g)(4)$$?

Accepted Answer

$$4$$

Question 5

If $$f(x) = 3x - 2$$ and $$g(x) = x^2$, what is (g - f)(1$$)$$?

Accepted Answer

$$0$$

Question 6

Given $$f(x) = x^2$ + 1$$ and $$g(x) = x - 2$$, what is $$(f \cdot g)(3)$$?

Accepted Answer

$$20$$

Question 7

Let $$f(x) = x^2$ and g(x) = x + 1$. What is (f$$ \circ g)(2)$$?

Accepted Answer

$$9$$

Question 8

If $$f(x) = x^2$ and g(x$$) = \frac{1}{x}$$, what is (f$$ \div g)(2)$$?

Accepted Answer

$$8$$

Question 9

Given $$f(x) = x^2$ and g(x) = 2x$, what is (f + g)(-3$$)$$?

Accepted Answer

$$3$$

Question 10

Let $$f(x) = x^2$ and g(x) = x - 1$. What is (f$$ \circ g)(4)$$?

Accepted Answer

$$9$$

Question 11

If $$f(x) = x^2$ and g(x) = x + 2$, what is (f - g)(-1$$)$$?

Accepted Answer

$$-3$$

Question 12

Given $$f(x) = x^2$ and g(x) = x + 1$, what is (g$$ \circ f)(2)$$?

Accepted Answer

$$5$$

Question 13

Let $$f(x) = x^2$ and g(x$$) = \sqrt{x}$$. What is the domain of (f$$ \circ g)(x)$$?

Accepted Answer

$$x \geq 0$$

Question 14

If $$f(x) = x^2$ and g(x) = x + 1$, what is (f$$ \cdot g)(-2)$$?

Accepted Answer

$$-12$$

Question 15

Given $$f(x) = x^2$ and g(x) = x - 1$, what is (f$$ \div g)(3)$$?

Accepted Answer

$$4$$

Question 16

Let $$f(x) = x^2$ and g(x) = x + 1$. What is (f + g)(-1$$)$$?

Accepted Answer

$$-1$$

Question 17

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

Accepted Answer

$$6$$

Question 18

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

Accepted Answer

$$3$$

Question 19

Let $$f(x) = x^2$ and g(x) = x + 1$. What is (f$$ \circ g)(-1)$$?

Accepted Answer

$$4$$

Question 20

If $$f(x) = x^2$ and g(x) = x + 2$, what is (f$$ \cdot g)(1)$$?

Accepted Answer

$$3$$

Operations and Difference Quotient of Functions

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