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Hotmath Practice Problems

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Title:
Hotmath Algebra 2
Author:
Hotmath Team
 
Free
Chapter:Rational Expressions, Equations and ExponentsSection:Operations with Functions
 

Problem: 1

Evaluate the expression f(3) + g(3) if f(x) = 4x + 7 and g(x) = 2x2.


Problem: 3

If f(x) = x – 2 and g(x) = –x + 3, calculate the value of 10 + g(6).


Problem: 5

If f(x) = x – 5 and g(x) = –x + 8, calculate the value of f(5) – g(5).


Problem: 7

Let f(x) = x2 – 3x + 4 and g(x) = x2 – 2.

Find g(x) + f(x) and state the domain.


Problem: 9

Let g(x) = 5x2 – 9.

Perform the operation g(x) – g(x) and state the domain.


Problem: 11

Perform the operation fg and state the domain if f(x) = x3 – 5 and g(x) = x + 7.


Problem: 13

Evaluate the expression if f(x) = 4x + 7 and g(x) = 2x2.


Problem: 15

Evaluate g(f(k)) if f(x) = 2x2 and g(x) = x – 5.


Problem: 17

Find g[h(x)] and h[g(x)].

g(x) = 9x

h(x) = 7x – 3


Problem: 19

Find g[h(x)] and h[g(x)].

g(x) = 2x + 9

h(x) = x + 2


Problem: 21

Let f(x) = 2x–3 and g(x) = x5/6. Find the function g(f(x)) and state its domain.


Problem: 23

Find the function g(g(x)) and state its domain if g(x) = 8x – 3.


Problem: 25

Let f(x) = 2x–3 and g(x) = x5/6.

Perform the operation g(g(x)) and state the domain.


Problem: 27

Evaluate f(g(15)) when f(x) = 2x2 and g(x) = 2 – 3x.


Problem: 29

If f(n) = n2+n+7 and g(n) = 4n, then find the value of g(f(–6)).


Problem: 31

Evaluate f(g(c)) if g(x) = 5x + 4 and


Problem: 33

Evaluate f(g(–k)) if g(x) = 5x + 4 and


Problem: 1

Evaluate the expression f(3) + g(3) if f(x) = 4x + 7 and g(x) = 2x2.


Problem: 3

If f(x) = x – 2 and g(x) = –x + 3, calculate the value of 10 + g(6).


Problem: 5

If f(x) = x – 5 and g(x) = –x + 8, calculate the value of f(5) – g(5).


Problem: 7

Let f(x) = x2 – 3x + 4 and g(x) = x2 – 2.

Find g(x) + f(x) and state the domain.


Problem: 9

Let g(x) = 5x2 – 9.

Perform the operation g(x) – g(x) and state the domain.


Problem: 11

Perform the operation fg and state the domain if f(x) = x3 – 5 and g(x) = x + 7.


Problem: 13

Evaluate the expression if f(x) = 4x + 7 and g(x) = 2x2.


Problem: 15

Evaluate g(f(k)) if f(x) = 2x2 and g(x) = x – 5.


Problem: 17

Find g[h(x)] and h[g(x)].

g(x) = 9x

h(x) = 7x – 3


Problem: 19

Find g[h(x)] and h[g(x)].

g(x) = 2x + 9

h(x) = x + 2


Problem: 21

Let f(x) = 2x–3 and g(x) = x5/6. Find the function g(f(x)) and state its domain.


Problem: 23

Find the function g(g(x)) and state its domain if g(x) = 8x – 3.


Problem: 25

Let f(x) = 2x–3 and g(x) = x5/6.

Perform the operation g(g(x)) and state the domain.


Problem: 27

Evaluate f(g(15)) when f(x) = 2x2 and g(x) = 2 – 3x.


Problem: 29

If f(n) = n2+n+7 and g(n) = 4n, then find the value of g(f(–6)).


Problem: 31

Evaluate f(g(c)) if g(x) = 5x + 4 and


Problem: 33

Evaluate f(g(–k)) if g(x) = 5x + 4 and