Question

Let f and g be the two functions from R to R defined by f(x) = 3x-4 and g(x) = x 2

+ 3. Find fog and gof.​

Answer 1

Answer:

11

Step-by-step explanation:

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Answer 2

Concept:

A function is defined as a relation between a set of inputs having one output each.

A set of real numbers, denoted by R,  can be defined as the union of both rational and irrational numbers.

Given:

We are given the functions:

f(x)=3x+4

g(x)=x²+3

where f and g be the two functions from R to R.

Find:

We need to find the functions:

fog and gof

Solution:

We have the functions:

f(x)=3x+4

g(x)=x²+3

First, we will find fog:

fog=f(g(x))

=f(x²+3)

=3(x²+3)-4

3x²+9-4

=3x²+5.

Then we will find gof:

gof=g(f(x))

=g(3x-4)

=(3x-4)²+3

=9x²+16-24x+3

=9x²-24x+19

Therefore, we get the value of fog as 3x²+5 and the value of gof as 9x²-24x+19.

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