# FUNCTION QUESTIONS AND SOLUTIONS

## High school mathematics lesson. Functions subject. Addition, subtraction, multiplication and division operations with functions. Finding the inverse of a function. Questions and its solutions.

Question 1

f(2x + 10) = 6x + 14

The f(x) function is equal to which of the following?

A) x + 12                B) 3x – 16                C) 2x + 5

D) 5x + 8                E) 2x - 7

Question 2

f(x) is a function that defined in real numbers.

f(x) = 12x – 36

f-1 (x) is which of the following? Question 3

f(x) is a function that defined in real numbers.

f(x) = 16x + 24

f-1 (x) is which of the following? Question 4

f(x) is a function that defined in real numbers.

 f(x) = 12x - 8 5

What is function f-1 (x) ? Question 5

 f-1(x) = x + 9 4

What is value of the f(5)?

A) 3                B) 5                C) 7

D) 11              E) 13

Question 6

f(x) = 6x2 + 4

g(x) = 5x + 3 A) 20                 B) 26                  C) 32

D) 38                E) 46

Question 7

Functions f(x) and g(x) is defined in the real numbers.

f(x) = 3x + 24

g(x) = 5x – 8

What is value of the fog(x) ?

A) 75x – 16                      B) 10x + 16              C) 15x

D) 5x + 12                       E) 5x

Question 8

f(x) = x2 – 4x

g(x) = x + 2

What is the value of the function [fog]-1 (21) ?

A) 3                      B) 5                  C) 9

D) 16                    E) 21

Question 9

[gof](x + 6) = 5x + 11

f-1(x) = x + 1

What is value of the g(5)?

A) 15                 B) 11               C) 8

D) 5                  E) 1

Question 10 What is the value of f-1 (2)?

A) 16                B) 23                 C) 30

D) -16               E) -30

Question 11

fog(x) = 6x2 – 4

f(x) = 2x + 6

The function g(x) is which of the following?

A) 5x + 7                   B) x2 – 8                C) 3x2 – 5

D) 5x2 + 3                 E) 6x + 5

Question 12

For a function f(x) that defined in real numbers cluster,

f(x + g(x)) = x2  + 6

Also,

g(2) = 12

According to given in above, what is the value of f-1(10) ?

A) 32                    B) 25                   C) 20

D) 18                    E) 14

Solutions of These Questions

RISE KNOWLEDGE

06/10/2018

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