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morpeh [17]
2 years ago
9

Find the inverse of f(x)=4x+3

Mathematics
1 answer:
zhuklara [117]2 years ago
4 0

f(x) = 4x+3\\\\\text{Write f(x) as y = 4x+3}\\\\\text{Replace x with y,}\\\\x =4y +3\\\\\text{Solve for y:}\\\\ \implies x =4y+3\\\\\implies 4y = x-3  \\\\\implies y =\dfrac{x-3}4\\\\\implies f^{-1} (x) = \dfrac{x-3}4\\\\\text{This is the inverse of f(x)}

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Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Option A;  m \leq\frac{3}{5}

»»————- ★ ————-««  

Here’s why:  

  • We can use inverse operations to solve for 'm'.

⸻⸻⸻⸻

\boxed{\text{Solving for 'm':}}\\\\5m+1\leq4\\--------\\\rightarrow 5m + 1 - 1 \leq 4 - 1\\\\\rightarrow 5m\leq3\\\\\rightarrow \frac{5m\leq3}{5}\\\\\rightarrow \boxed{m\leq\frac{3}{5}}

⸻⸻⸻⸻

Any number that is less than or equal to the value of three-fifths would work.

The option that is less than or equal to (3/5) is option A.

Assuming that there are more options than the options shown, choose the numbers that are less than or equal to (3/5).

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

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2 years ago
(3.03 MC)
liberstina [14]

Answer:

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