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3 years ago

If F (7) 22, Then F(f-1(22))

Mathematics

1 answer:

jeka57 [31]3 years ago

6 0

Answer:

$\boxed{\boxed{f(f^{-1}(22))=22}}$

Step-by-step explanation:

$\text{If we have}\ f(x)\ \text{and}\ f^{-1}(x),\ \text{then}\\\\\text{if}\ f(a)=b,\ \text{then}\ f^{-1}(b)=a.\\\\\text{Therefore, if}\ f(7)=22,\ \text{then}\ f^{-1}(22)=7.\\\\f(\underbrace{f^{-1}(22)}_{=7})=f(7)=22$

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3 years ago

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2 years ago

A student has taken three math tests so far this semester. His scores for the first three tests were 65, 67, and 69. Suppose h

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Answer:

Step-by-step explanation:

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3 years ago

How many cubes with side lengths of 1/2 cm does it take to fill up the prism

ELEN [110]

24 cubes can filled up the prism

Solution:

The image of the question is attached below.

Given data:

Length of the prism = 2 cm

Breadth of the prism = 1 cm

Height of the prism = $$\frac{3}{2}$ cm

Volume of the prism = length × breadth × height

$$=2\times 1\times \frac{3}{2}$

$=3$ cubic cm

Volume of the prism = 3 cubic cm

Side length of the cube = $$\frac{1}{2}$ cm

Volume of the cube = side × side × side

$$=\left(\frac{1}{2}\right)^{3}$

$$=\frac{1}{8}$ cubic cm

Volume of the cube = $\frac{1}{8}$ cm

$$\text{Number of cubes} =\frac{\text{Volume of the prism}}{\text{Volume of the cube}}$

$$=\frac{3}{\frac{1}{8} }$

$=3\times8$

$=24$

Number of cubes = 24

Hence 24 cubes can filled up the prism.

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2 years ago