Question 1

Given $$f(x) = \sqrt{x}$$ and $$g(x) = -2x + 1$$, what is the domain of $$f(g(x))$$?

Accepted Answer

$$x \leq \frac{1}{2}$$

Question 2

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

Accepted Answer

$$6$$

Question 3

Given $$f(x) = \sqrt{x}$$ and $$g(x) = -2x + 1$$, what is $$f(g(2))$$?

Accepted Answer

Not defined

Question 4

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

Accepted Answer

$$30$$

Question 5

Given $$f(x) = \sqrt{x}$$ and $$g(x) = -2x + 1$$, what is the domain of $$f(x) + g(x)$$?

Accepted Answer

$$x \geq 0$$

Question 6

If $$f(x) = x^2$ and g(x) = x + 1$, what is (f - g)(0$$)$$?

Accepted Answer

$$-1$$

Question 7

Given $$f(x) = \sqrt{x}$$ and $$g(x) = -2x + 1$$, what is $$f(g(0))$$?

Accepted Answer

$$\sqrt{1}$$

Question 8

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

Accepted Answer

$$0.5$$

Question 9

Given the table values $$f(0) = 5$$, $$g(0) = -3$$, what is $$(f + g)(0)$$?

Accepted Answer

$$2$$

Question 10

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

Accepted Answer

$$9$$

Question 11

Given $$f(x) = \sqrt{x}$$ and $$g(x) = -2x + 1$$, what is $$g(f(4))$$?

Accepted Answer

$$-3$$

Question 12

If $$f(x) = x^2$ and g(x) = x + 1$, what is the domain of (f / g)(x$$)$$?

Accepted Answer

All real numbers except $$x = -1$$

Question 13

Given $$f(x) = \sqrt{x}$$ and $$g(x) = -2x + 1$$, what is $$f(g(1))$$?

Accepted Answer

Not defined

Question 14

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

Accepted Answer

$$5$$

Question 15

Given $$f(x) = \sqrt{x}$$ and $$g(x) = -2x + 1$$, what is $$f(g(-1))$$?

Accepted Answer

$$\sqrt{3}$$

Question 16

If $$f(x) = x^2$ and g(x) = x + 1$, what is (f$$ \cdot g)(0)$$?

Accepted Answer

$$0$$

Question 17

Given $$f(x) = \sqrt{x}$$ and $$g(x) = -2x + 1$$, what is $$g(f(9))$$?

Accepted Answer

$$-5$$

Question 18

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

Accepted Answer

$$2$$

Question 19

Given $$f(x) = \sqrt{x}$$ and $$g(x) = -2x + 1$$, what is $$f(g(-2))$$?

Accepted Answer

$$\sqrt{5}$$

Question 20

If $$f(x) = x^2$ and g(x) = x + 1$, what is f(g(0$$))$$?

Accepted Answer

$$1$$

Combining and Composing Functions: Operations, Domains, and Applications

Study Guide - Practice Questions