All categories

2 years ago

f f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))?

Mathematics

1 answer:

Fynjy0 [20]2 years ago

3 0

Answer:

Please send me the polynomial of f(x) and g(x)..or you have opposite line with equation while you plot a graph

You might be interested in

The point P(5, −4) lies on the curve y = 4/(4 − x).

dalvyx [7]

Answer:

Step-by-step explanation:

Slope refers to the steepness of the line.

Slope is equal to change in value of y divided by change in value of x.

The slope of the secant line is given by $\frac{f(x)-f(a)}{x-a}$ .

Given points are $P\left ( 5,-4 \right )\,,\,Q\left ( x,\frac{4}{4-x} \right )$

So, slope of the secant line is $\frac{\frac{4}{4-x}+4}{x-5}=\frac{4+4(4-x)}{(x-5)(4-x)}=\frac{20-4x}{(x-5)(4-x)}=\frac{-4(x-5)}{(x-5)(4-x)}=\frac{-4}{4-x}=\frac{4}{x-4}$

(i) At x = 4.9,

$\frac{4}{4.9-4}=\frac{4}{0.9}=4.444444$

(ii) At x = 4.99,

$\frac{4}{4.99-4}=\frac{4}{0.99}=4.040404$

(iii) At x = 4.999,

$\frac{4}{4.999-4}=\frac{4}{0.999}=4.004004$

(iv) At x = 4.9999,

$\frac{4}{4.9999-4}=\frac{4}{0.9999}=4.0004$

(v) At x =5.1,

$\frac{4}{5.1-4}=\frac{4}{1.1}=3.636364$

(vi)

At x = 5.01,

$\frac{4}{5.01-4}=\frac{4}{1.01}=3.960396$

(vii) At x = 5.001,

$\frac{4}{5.001-4}=\frac{4}{1.001}=3.996004$

(viii) At x = 5.0001,

$\frac{4}{5.0001-4}=\frac{4}{1.0001}=3.9996$

(b)

Slope of the tangent line is 4.

5 0

2 years ago

Find the simple interest for a $8,000 loan for 2 years at a rate of 4% (formula: l=prt)

Natali [406]

Answer:

S.I= 640

Step-by-step explanation:

I=prt

where p= $8,000

and r= 4%

and t= 2 years

$8,000×4%×2

8,000×4/100×2

80×4×2

=640

Therefore The S.I = 640.

6 0

2 years ago

Will mark brainliest pls help

jonny [76]

Try photo math it should

7 0

2 years ago

Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either a 7 or an 11?

slavikrds [6]

C i know for sure!!!!

8 0

3 years ago

8 to the fourth power increased by 6 in an algebraic expression.

hodyreva [135]

Y = 8^4 + 6 is one way

3 0

2 years ago

f f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))? ​

f f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))?