Question

The function f is defined by f(x)=8x³+5. If f(a)=c , which of the following equations gives the value of a in terms of a? Select one answer.

A. c=8a³-5
B. a=8c³+5
C. a= (√[3](e-5))/2
D. a=∛(c-5)8

Answer 1

The equation that gives the value of a in terms of c is a = ∛((c - 5) / 8).

Step-by-step explanation:

The function is defined as f(x) = 8x³ + 5.

If f(a) = c, we need to find the equation that gives the value of a in terms of c.

To find this equation, we set f(a) equal to c:

8a³ + 5 = c

Subtracting 5 from both sides:

8a³ = c - 5

Dividing by 8:

a³ = (c - 5) / 8

Taking the cube root of both sides:

a = ∛((c - 5) / 8)

So the correct equation is D. a = ∛((c - 5) / 8).