Find the inverse function in slope-intercept form (mx+b) : f(x)=-(1)/(4)x+15 Answer: f^(-1)(x)=

Write function as y: To find the inverse function, we first write the function as y = -(1/4)x + 15.Swap x and y: Next, we swap x and y to find the inverse. This gives us x = -(1/4)y + 15.Solve for y: Now, we solve for y to get the inverse function in slope-intercept form. We start by adding (1/4)y to both sides to isolate the terms with y on one side: (1/4)y + x = 15.Subtract x: Next, we subtract x from both sides to get (1/4)y = 15 - x.Multiply by 4: To solve for y, we multiply both sides by 4 to get y = 4(15 - x).Simplify the equation: Simplify the equation to get y = 60 - 4x. This is the inverse function in slope-intercept form.

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Find the inverse function in slope-intercept form
(mx+b) :

f(x)=-(1)/(4)x+15
Answer:
f^(-1)(x)=

Find the inverse function in slope-intercept form $(\mathrm{mx}+\mathrm{b})$ : $\newline$ $f(x)=-\frac{1}{4} x+15$ $\newline$ Answer: $f^{-1}(x)=$

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Algebra 2

Find the vertex of the transformed function

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Q. Find the inverse function in slope-intercept form

(\mathrm{mx}+\mathrm{b})

\newline

f(x)=-\frac{1}{4} x+15

\newline

Answer:

f^{-1}(x)=

Write function as $y$ : To find the inverse function, we first write the function as $y = -\left(\frac{1}{4}\right)x + 15$ .
Swap $x$ and $y$ : Next, we swap $x$ and $y$ to find the inverse. This gives us $x = -\frac{1}{4}y + 15$ .
Solve for y: Now, we solve for $y$ to get the inverse function in slope-intercept form. We start by adding $(1/4)y$ to both sides to isolate the terms with $y$ on one side: $(1/4)y + x = 15$ .
Subtract $x$ : Next, we subtract $x$ from both sides to get $\frac{1}{4}y = 15 - x$ .
Multiply by $4$ : To solve for $y$ , we multiply both sides by $4$ to get $y = 4(15 - x)$ .
Simplify the equation: Simplify the equation to get $y = 60 - 4x$ . This is the inverse function in slope-intercept form.