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3 years ago

If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (fog)(x)?

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

3 0

Answer:

3(x² + 1) + 2

Step-by-step explanation:

(f ○ g)(x) = f(g(x))

Substitute x = g(x) into f(x), that is

f(x² + 1) = 3(x² + 1) + 2 ← is the equivalent statement

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Read 2 more answers

The first side of a triangle is 3 inches shorter than the second side, and 2 inches longer than the third side. How long is each

ziro4ka [17]

Answer:

the length of the first side of the triangle is $\frac{28}{3}\ in$

the length of the second side of the triangle is $\frac{37}{3}\ in$

the length of the third side of the triangle is $\frac{19}{3}\ in$

Step-by-step explanation:

Let

x-----> the length of the first side of a triangle

y----> the length of the second side of a triangle

z---> the length of the third side of a triangle

we know that

$x=y-3$

$y=x+3$ -----> equation A

$x=z+3$

$z=x-3$ -----> equation B

The perimeter of the triangle is equal to

$P=x+y+z$

$P=28\ in$

$28=x+y+z$ -----> equation C

substitute equation A and equation B in equation C

$28=x+(x+3)+(x-3)$

solve for x

$28=3x$

$x=\frac{28}{3}\ in$

Find the value of each side

the first side of a triangle is x

$x=\frac{28}{3}\ in$

the second side of a triangle is y

$y=\frac{28}{3}+3=\frac{37}{3}\ in$

the third side of a triangle is z

$z=\frac{28}{3}-3=\frac{19}{3}\ in$

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