$$x \in \mathbb{R}, x \neq -\frac{7}{5}$$

Question 1

Given $$f(x) = x^2$ + 4$$ and $$g(x) = 5x + 7$$, what is $$f(x) + g(x)$$?

Accepted Answer

$$x^2 + 5x + 11$

Question 2

Given $$f(x) = \sqrt{x+4} + 30$$ and $$g(x) = \sqrt{x+4} - 2x + 35$$, what is the domain of $$f(x) + g(x)$$?

Accepted Answer

$$x \geq -4$$

Question 3

If $$h(x) = 2x^2$ - 4$$ and $$k(x) = x^2$ + 2$$, what is $$h(x) - k(x)$$?

Accepted Answer

Question 4

Given $$L(x) = x - 2$$ and $$M(x) = x^3$, what is L(M(5$$))$$?

Accepted Answer

$$-20$$

Question 5

Given $$f(x) = \sqrt{x}$$ and $$g(x) = 3x - 6$$, what is the domain of $$f(x) \cdot g(x)$$?

Accepted Answer

$$x \geq 0$$

Question 6

Given $$f(x) = \sqrt{x}$$ and $$g(x) = 3x - 6$$, what is the domain of $$\frac{f(x)}{g(x)}$$?

Accepted Answer

$$x \geq 0, x 
eq 2$$

Question 7

If $$f(x) = x^2$ + 4$$ and $$g(x) = 5x + 7$$, what is $$f(x) - g(x)$$?

Accepted Answer

$$x^2 - 5x - 3$

Question 8

Given $$f(x) = x^2$ + 4$$ and $$g(x) = 5x + 7$$, what is the domain of $$f(x) + g(x)$$?

Accepted Answer

$$x \in \mathbb{R}$$

Question 9

If $$f(x) = \sqrt{x+4} + 30$$ and $$g(x) = \sqrt{x+4} - 2x + 35$$, what is $$f(x) - g(x)$$?

Accepted Answer

$$2x - 5$$

Question 10

Given $$h(x) = 2x^2$ - 4$$ and $$k(x) = x^2$ + 2$$, what is $$h(x) + k(x)$$?

Accepted Answer

$$3x^2 - 2$

Question 11

If $$f(x) = x^2$ + 4$$ and $$g(x) = 5x + 7$$, what is $$f(x) \cdot g(x)$$?

Accepted Answer

$$(x^2 + 4)(5x + 7$$)$$

Question 12

Given $$f(x) = x^2$ + 4$$ and $$g(x) = 5x + 7$$, what is $$\frac{f(x)}{g(x)}$$?

Accepted Answer

$$\frac{x^2$ + 4}{5x + 7}$$

Question 13

If $$f(x) = x^2$ + 4$$ and $$g(x) = 5x + 7$$, what is the domain of $$\frac{f(x)}{g(x)}$$?

Accepted Answer

$$x \in \mathbb{R}, x 
eq -\frac{7}{5}$$

Question 14

Given $$f(x) = \sqrt{x}$$ and $$g(x) = 3x - 6$$, what is $$f(x) \cdot g(x)$$?

Accepted Answer

$$\sqrt{x}(3x - 6)$$

Question 15

If $$f(x) = \sqrt{x}$$ and $$g(x) = 3x - 6$$, what is $$\frac{f(x)}{g(x)}$$?

Accepted Answer

$$\frac{\sqrt{x}}{3x - 6}$$

Question 16

Given $$f(x) = x^2$ + 4$$ and $$g(x) = 5x + 7$$, what is the domain of $$f(x) \cdot g(x)$$?

Accepted Answer

$$x \in \mathbb{R}$$

Question 17

If $$f(x) = x^2$ + 4$$ and $$g(x) = 5x + 7$$, what is the domain of $$f(x) - g(x)$$?

Accepted Answer

$$x \in \mathbb{R}$$

Question 18

Given $$f(x) = \sqrt{x+4} + 30$$ and $$g(x) = \sqrt{x+4} - 2x + 35$$, what is the domain of $$f(x) - g(x)$$?

Accepted Answer

$$x \geq -4$$

Operations with Functions: Addition, Subtraction, Multiplication, and Division

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