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2 years ago

Using f(x)=2x^2 and g(x)=3x+4. whats (g of f)(5)? whats (f of g)(5)?

Mathematics

1 answer:

3241004551 [841]2 years ago

7 0

Answer:

f(g(x)) = 722, and g(f(x)) = 154

Step-by-step explanation:

f(x) = 2x²

g(x) = 3x + 4

g(f(x)) = 3(2x²) + 4

g(f(5)) = 3(2 × 5²) + 4

g(f(5)) = 3(2 × 25) + 4

g(f(5)) = 3 × 50 + 4

g(f(5)) = 154

f(g(x)) = 2(3x + 4)²

f(g(5)) = 2(3 × 5 + 4)²

f(g(5)) = 2 × 19²

f(g(5)) = 2 × 361

f(g(5)) = 722

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Read 2 more answers

Which function is a horizontal compression of its parent function f(x)=x^7 by a factor of 4

evablogger [386]

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$r(x)=(4x)^7$

Step-by-step explanation:

For a horizontal compression, we multiply whole numbers greater than 1 in front of $x$ of the given function.
For horizontal expansion, we multiply by the reciprocal of the number for horizontal compression, in front of $x$ of the function.

For example,

If we wanted to <u>horizontally compress</u> $y=x^2$ , we would multiply by 4 to get $y=(4x)^2$ , and

if we wante to <u>horizontally expand</u> $y=x^2$ , we would multiply by $\frac{1}{4}$ to get $y=(\frac{1}{4}x)^2$

Since this question asks for horizontal compression, we multiply the $x$ of the function by 4. So the function we need is $f(x)=(4x)^7$ . The second choice is correct.