If f(g(x))=x and f(x) = 3x – 4, find g(x)

2 answers:

7 0

$f(g(x))=x;\ f(x)=3x-4\\\\therefore3[g(x)]-4=x\ \ \ |add\ 4\ to\ both\ sides\\\\3[g(x)]=x+4\ \ \ \ |divide\ both\ sides\ by\ 3\\\\g(x)=\dfrac{x+4}{3}\\\\Answer:\boxed{B.\ g(x)=\dfrac{x+4}{3}}$

Virty [35]3 years ago

5 0

We can do reverse engineering to identify the function or expression of g(x). we can try each function as g(x).

a. f(g(x)) = 3*( (x-4)/3) – 4 = x-4-4 = x -8
b. f(g(x)) = 3*( (x+4)/3) <span>– 4 = x+ 4 -4 = x

Hence the answer should be B</span>

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Find one-eight of the sum of 18 and the product of 6 and 1

4vir4ik [10]

Answer: 3

Step-by-step explanation:

The question is to calculate one-eight of the sum of 18 and the product of 6 and 1. This will be:

= 1/8 [18 + (6 × 1)]

= 1/8 [18 + 6]

= 1/8 × 24

= 3

The answer is 3.

8 0

3 years ago

Domain and range of the inequality y<√x+3 +1

Margaret [11]

The domain of the given inequality is y>1.

<h3>What is Inequality?</h3>

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here, given inequality:

y < $\sqrt{x+3}+1$

Related equation:

y = $\sqrt{x+3}+1$

The equation defined as,

x+3 > 0

x > -3

In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.

So, the domain of the given inequality is x>-3.

We know that,

$\sqrt{x+3} \geq 0$