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ziro4ka [17]
3 years ago
10

The inverse of f(x)=4x+5

Mathematics
1 answer:
frez [133]3 years ago
6 0

To find the inverse of a function switch the place of y (aka f(x) ) with x. Then solve for y.

Original equation:

y = 4x + 5

Switched:

x = 4y + 5

Solve for y by isolating it:

x - 5 = 4y + 5 - 5

x - 5 = 4y

(x - 5)/4 = 4y/4

\frac{1}{4}x-\frac{5}{4} = y

Hope this helped!

~Just a girl in love with Shawn Mendes

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Given that f(x)=x^2-4x -3 and g(x)=x+3/4 solve for f(g(x)) when x=9
SSSSS [86.1K]

Answer:

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Step-by-step explanation:

To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).

g(x) = x + 3/4

f(x) = x² - 4x - 3

f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3

f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3

f(g(x)) = x² - 5/2x + 9/16 + 3 - 3

f(g(x)) = x² - 5/2x + 9/16

Now, put a 9 wherever there is an x in f(g(x)).

f(g(9)) = (9)² - 5/2(9) + 9/16

f(g(9)) = 81 - 5/2(9) + 9/16

f(g(9)) = 81 - 45/2 + 9/16

f(g(9)) = 117/2 + 9/16

f(g(9)) = 945/16

7 0
3 years ago
F(x)=3x-4 and g(x) = x2 find the value of f(3)-g(2) <br><br> show all work
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Answer: 1

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=> f(3) - g(2) = 5 - 4 = 1

Step-by-step explanation:

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3 years ago
6t - 5 + 5t = 105 (t = 4; t = 7;t = 10)
mart [117]

Answer:

t = 10

Step-by-step explanation:

6[10] - 5 + 5[10] = 105 \\  \\ 60 - 5 + 50 = 105 \\  \\ 105 = 105

I am joyous to assist you anytime.

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3 years ago
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